41180179041 has 81 divisors (see below), whose sum is σ = 66438013369. Its totient is φ = 24572266752.

The previous prime is 41180179021. The next prime is 41180179097. The reversal of 41180179041 is 14097108114.

It is a happy number.

The square root of 41180179041 is 202929.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 20184169041 + 20996010000 = 142071^2 + 144900^2 .

It is not a de Polignac number, because 41180179041 - 2¹¹ = 41180176993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 41180178987 and 41180179005.

It is not an unprimeable number, because it can be changed into a prime (41180179021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 238035631 + ... + 238035803.

Almost surely, 2^41180179041 is an apocalyptic number.

41180179041 is the 202929-th square number.

41180179041 is the 101465-th centered octagonal number.

It is an amenable number.

41180179041 is a deficient number, since it is larger than the sum of its proper divisors (25257834328).

41180179041 is a wasteful number, since it uses less digits than its factorization.

41180179041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

Multiplying 41180179041 by its sum of digits (36), we get a square (1482486445476 = 1217574²).

The spelling of 41180179041 in words is "forty-one billion, one hundred eighty million, one hundred seventy-nine thousand, forty-one".