Most of the stars in the Hipparcos catalogue do not have a common name.
In the main catalogue file you will also find the Henry Draper (HD) number of the star (if it has one) at columns 391-396. You can use this ID to find the name in the Bright Star Catalogue.
The Bright Star Catalogue contains all stars brighter than magnitude 6.5 (naked eye stars) together with the HD number (columns 26-31) and a Name (columns 5-14), which in fact is the Bayer (greek letter - constellation) or Flamsteed (number - constellation) name.
Using both catalogues you can get the Bayer or Flamsteed name from the HIP identifier. I do not know of any catalogue to get the common name.
The distance of the star can of course be found in the Hipparcos catalogue, which is the reason the Hipparcos catalogue exists. Columns 80-86 give the trigonometric parallax $varpi$ in milliarcseconds. You can get the distance from: $$d=frac{1}{varpi}$$ where the distance $d$ is in parsec and the parallax $varpi$ is in arc seconds. For the Hipparcos catalogue you should divide the parallax by 1000 as the parallax is given in milliarcseconds.
You can get the constellation for any position in the sky from the algorithm and data in http://cdsarc.u-strasbg.fr/viz-bin/Cat?VI/42
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