what is value of a smith & wesson 40 cal. sw40ve - model number
Your S&W 40VE is part S&W's Sigma line of auto-loading pistols.
If it is in like-new condition and still in the original plastic box, gun show price is around $300-$350.
These striker-fired S&W pistols are fine guns - essentially Glock clones.
Unfortunately they do not get the respect in the market they deserve. The newer S&W M&P and the Springfield XD have stolen the market. (Not that there is anything wrong with either of those pistols.)