E! News claims KIM KARDASHIAN and KANYE WEST are “no longer speaking” and are preparing for a divorce.  Supposedly, it’s mutual . . . and if Kim doesn’t file the official papers soon, Kanye will step in and do it.

There’s still no official word . . . but this is a strong signal:  The “New York Post” says Kanye has moved his SNEAKER collection out of the house.  And that isn’t an armful of shoe boxes.

A source claims he moved 500 PAIRS of sneakers out . . . although they do note that he hasn’t completely moved out, just his shoes.