Google works. Drag and paste the link. Maybe it works. If it doesn't, be sure, there's a manual on line. Enjoy the 41.
http://www.smith-wesson.com/wcsstore/SmWesson/upload/other/Model_41.pdf
Looks like some time in 1959. If you don't want to invest in an SCSW, go to rimfire central dot com then to Forae then to Manf. then to S&W. Can't say for sure it was there, but somewhere on line I saw a manual. Try a Google, maybe?
The book shows on pg 401 : model 39, 41, 46, etc, with serial #'s starting in 1954 @ 1001 continuing through 115000 in 1970 when the letter "A" was added. After the "A" was added it shows a more specific yearly serialized range.
Yours falls into the 1957 to 1970 range and I can't find a more specific date but there is some maybe helpful info found on pg 279 stating commercial prod started @ ser#1401 for the m41.
Some more dates follow below to help you more closely nail yours down hopefully.
1959:Introduce 5" lightweight bbl.
1960:Introduce m41-1 in .22 short only.
1963:5.5" heavyweight bbl Introduced.
1965:5.5" with extendable front sight Introduced.
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1960 mfg - ship 1960-61
Dating of pistols is based on available information. The best way to learn when a unit is shipped is thru Jinks. The problem arises in the fact that a series of frames are run and numbered, but later assembly is not in SN order - pulled from "as delivered to station" order. As an example, "first year shipped" does not match the SN order of number sequence. Apparently some frames have ended up in the eddie currents and not shipped for a few years. Lazy "&" and CI units cutoffs are very fractured compared to SN order and ship dates. Even the conversion from cutout to foam liners is scrambled. In summary - it ain't perfect - but a good approximation. But is it that critical??