Making the hostname appear in a ping...

Ok when you ping some hosts, for instance my old web hosts ip you see this:

Target Name: hiyacorp.com
IP: 66.197.146.229
Date/Time: 4/1/2005 12:54:31 AM

1 10 ms 12 ms [10.100.32.1]
2 30 ms 21 ms router-24-158-223-1.sli.la.charter.com [24.158.223.1]
3 14 ms 23 ms nworla1wce1-gige7-1.wcg.net [64.200.57.49]
4 26 ms 36 ms dllstx1wcx3-pos0-3.wcg.net [64.200.210.5]
5 26 ms 27 ms dllstx9lcx1-pos9-0.wcg.net [64.200.232.210]
6 35 ms 31 ms so-2-2-0.edge1.Dallas1.Level3.net [4.68.127.21]
7 * 31 ms so-1-2-0.bbr2.Dallas1.Level3.net [209.244.15.165]
8 -32764 ms 64 ms as-1-0.mp1.Philadelphia1.Level3.net [209.247.8.69]
9 65 ms * ge-11-0.hsa1.Philadelphia1.Level3.net [64.159.0.146]
10 63 ms 98 ms [4.78.144.6]
11 69 ms 100 ms ge-7-0-ctsi.rtr0.scra1.hostnoc.net [66.197.191.45]
12 69 ms 87 ms cpanel.hiyacorp.net [66.197.146.229]


Notice at the bottom how the hostname of the machine shows. How would I get my linux box to do the same? Would it be ok to? Does it pose any kind of security threat?

 

 

 

 

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