441132745452255 has 32 divisors (see below), whose sum is σ = 788299390883520. Its totient is φ = 234051777884160.

The previous prime is 441132745452229. The next prime is 441132745452257. The reversal of 441132745452255 is 552254547231144.

It is a happy number.

441132745452255 is a `hidden beast` number, since 4 + 4 + 1 + 1 + 3 + 2 + 74 + 545 + 2 + 25 + 5 = 666.

It is not a de Polignac number, because 441132745452255 - 2¹¹ = 441132745450207 is a prime.

It is a super-2 number, since 2×441132745452255² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441132745452257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8465388366 + ... + 8465440475.

It is an arithmetic number, because the mean of its divisors is an integer number (24634355965110).

Almost surely, 2^{441132745452255} is an apocalyptic number.

441132745452255 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

441132745452255 is a deficient number, since it is larger than the sum of its proper divisors (347166645431265).

441132745452255 is a wasteful number, since it uses less digits than its factorization.

441132745452255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16930829048 (or 16930829042 counting only the distinct ones).

The product of its digits is 26880000, while the sum is 54.

The spelling of 441132745452255 in words is "four hundred forty-one trillion, one hundred thirty-two billion, seven hundred forty-five million, four hundred fifty-two thousand, two hundred fifty-five".