Incorrect spelling, explanation: suffix -th is used to create most ordinal numbers, however there are exceptions and one of them is -st. This suffix is added to number 1 and all other numbers containing one in them (for example 51, 111, 1091 etc.). Therefore ordinal number from number 41 is forty-first, so 41st.
41th is a mistake.
Correct spelling, explanation: 41st is the correct form, because cardinal number 41 ends with 1, therefore ordinal number ends with suffix consistent with it, which is -st. Usual suffix for ordinal numbers is -th, hence the mistake
41th, but there are three exceptions: 1st, 2nd and 3rd, therefore 41st is the right form of writing this number.
Definition of 41st:
numeral, ordinal number between 40th and 42nd
On the 41st anniversary of founding the school they organised an official ceremony.
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