44th vs forty-fourth

44th and forty-fourth both are adjectives.

Word	Noun	Adjective	Verb	Adverb
44th	No	Yes	No	No
forty-fourth	No	Yes	No	No

As adjectives, 44th and forty-fourth are synonyms defined as:

44th and forty-fourth: the ordinal number of forty-four in counting order

44th (adjective)	forty-fourth (adjective)
the ordinal number of forty-four in counting order	the ordinal number of forty-four in counting order