As has been explained: this is a double augmented 4th.
"Fourth" refers to the distance between the notes. "Double augmented" further qualifies that interval in regards to the accidentals (sharps, flats, notes outside of a given key signature).
However, something that no-one has mentioned or pointed out—which is a very valid and poignant fact—is the perceived or received interval. Or what could be called an enharmonic "spelling" if this interval. Or, in the most simple and direct terms: without any addition context, how this interval would be identified by hearing it played on any real, musical instruments.
And that would be: a perfect 5th
It is not "spelled" that way. But without any context (such as: other notes whether before, during or after or some combination such as its use in a chord progression) there would be absolutely no way for anyone to distinguish this from a perfect 5th by hearing it alone.
For all intents and purposes, as it stands isolated, this is a perfect 5th!
I've had two professors at different universities who used the terms "super" and "hyper" used instead of "doubly" or "double" to refer to intervals which are a semitone (half step) larger than augmented—or smaller than diminished.
I am not asserting that this is "correct" or "standard" or even a "known & accepted variation"; however, it is something which you (or anyone) may encounter at some point. One was not a native English speaker and both were trained in non-English speaking schools/countries; I assume that is a factor.
I think most musicians would be able to figure this out, but it seemed that someone inevitably asked what the heck they were talking about virtually every time I heard them use the term. Although, certainly in some of those contexts/situations I suspect the same question would have been asked even if they used the standard terminology; and in at least some of the other instances the individual was simply trying to be annoying.
I argued the point to one of them that "hyper diminished" is actually incorrect and makes not sense at all. I asserted that if he insisted on using substandard jargon, he should at least use it correctly and say "hypo diminished". This started a drawn out discussion among most of the class which was eventually "settled" by an English professor (confirming my position).
This reminds me of a little game I used to play with a high school buddy of mine: "What would be the key signature of…?" (followed by some ridiculous key like: B double-sharp minor) We used to say that we should have unique, dedicated words for "double-flat" and "double-sharp", as well as "doubly diminished" and "doubly augmented".
Apparently, there are several languages which had those words but they have fallen out of use—I believe German or Russian was one of those languages.