Pyridium vs painkiller

Pyridium and painkiller both are nouns.

Word	Noun	Adjective	Verb	Adverb
Pyridium	Yes	No	No	No
painkiller	Yes	No	No	No

As nouns, painkiller is a hypernym of Pyridium; that is, painkiller is a word with a broader meaning than Pyridium:

Pyridium: analgesic (trade name Pyridium) used to treat urinary tract infections
painkiller: a medicine used to relieve pain

Other hypernyms of Pyridium include analgesic, anodyne, pain pill.

Pyridium (noun)	painkiller (noun)
analgesic (trade name Pyridium) used to treat urinary tract infections	a medicine used to relieve pain