441517633807041 has 81 divisors (see below), whose sum is σ = 702828802441857. Its totient is φ = 266888415427920.

The previous prime is 441517633807031. The next prime is 441517633807079. The reversal of 441517633807041 is 140708336715144.

The square root of 441517633807041 is 21012321.

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

441517633807041 is a `hidden beast` number, since 4 + 4 + 1 + 517 + 6 + 3 + 3 + 80 + 7 + 0 + 41 = 666.

It is not a de Polignac number, because 441517633807041 - 2⁵ = 441517633807009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (441517633807001) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 415350548676 + ... + 415350549738.

Almost surely, 2^{441517633807041} is an apocalyptic number.

441517633807041 is the 21012321-st square number.

441517633807041 is the 10506161-st centered octagonal number.

It is an amenable number.

441517633807041 is a deficient number, since it is larger than the sum of its proper divisors (261311168634816).

441517633807041 is an frugal number, since it uses more digits than its factorization.

441517633807041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3352 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 441517633807041 in words is "four hundred forty-one trillion, five hundred seventeen billion, six hundred thirty-three million, eight hundred seven thousand, forty-one".