1.
what; what kind of
Placed before a noun to ask what sort of thing it is or what it is for.
2.
no ~ at all; not the slightest (with a negative)
In the pattern 何の…も + negative, it denies the existence of the thing completely: not a single one, none whatsoever.
Related Words
Related:
何のために (for what purpose; why)
Compare:
どんな (what kind of)
Compare:
何か (something)