Text (SH+errata): 0/0. ; ~this~ enters the battlefield with four +1/+1 counters on it. ; {2}, Remove a +1/+1 counter from ~this~: Put a +1/+1 counter on target creature. [Oracle 2009/07/08]
It dies as a state based effect just after you remove the last counter when announcing its ability to remove a counter and right before any other spells or abilities can be used. There is no way to sacrifice it or do anything else with it before it dies. [D'Angelo 1999/06/01]