My tire says: 700x40c 40-622 , is the tube in the picture a perfect fit?
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Assuming your rim is drilled out for a Presta valve, this tube should be suitable. If your rims are deep (you would know if you had them), you may need a valve extender.
If you have a rim drilled for a Schrader valve (kind on a car tire), it is not recommended (if you want to use it, you should use a valve grommet as noted in this answer) since the larger hole may allow for some damage to the tube, or better yet, buy a tube with a Schrader valve.
A Presta valve rim is 6 mm, Schrader is 8 mm.