The typhoon is very strong. What word should be used for this "big"?

First of all, it's definitely not big.

The remaining two, strong and heavy, can generally be used to modify rain, for example, what a heavy rain!

Of course, strength is not the only one. There are other words in specific cases, especially in literary works.

For example, Crazy Upstairs is also possible in a specific context, which constitutes personification.