In digital cameras, the camera's format refers to the size of its image sensor. Nikon makes a DX-format sensor and an FX-format sensor. The DX-format is the smaller sensor at 24x16mm; the larger FX-format sensor measures 36x24mm which is approximately the same size as 35mm film.
The AF-S DX Micro-NIKKOR 40mm f/2.8G is an EXCELLENT choice for taking close-up of small objects. You will get life-like shots of these subjects with the lenses 1:1 ratio and extremely fast and sharp f/2.8 aperture. Enjoy it! It's a great lens.
The Nikon AF-S DX Micro-NIKKOR 40mm f/2.8G Macro Lens is completely compatible with the Nikon D3400 DSLR camera. This lens provides high resolution and contrast from infinity to life-size (1X magnification) and can capture everything from landscapes to the smallest of subjects.
All Nikon DSLR's use Nikon's F-mount. Any lens would fit on it - there is the matter of functionality of a specific lens and camera. In this case the D7200 and the AF-S DX Micro-NIKKOR 40mm is 100% compatible.
This is not a fisheye lens. Please click on the link below for the lens simulator; it will help you to make the decision on what lens you need.
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No, this is neither a wide angle nor a, "Fish-eye," lens. On your D40 this will work as a slight telephoto lens with almost perfectly rectalinear lines (straight lines appear straight). Try the 10.5mm Fisheye for that work.