There are a lot of cards that have the effect
Target permanent does not untap during next untap step
Is there a term for this? Because it's kind of a mouthful to say "that permanent is not allowed to untap during the next untap step."
Since there is no official term, and therefore no officially correct answer, there were suggestions given that could be used for it. Of those I prefer the term exhausted.
If you think there is a better term please comment, but I don't think that much can top exhausted.