441135603268164 has 108 divisors (see below), whose sum is σ = 1304916096766464. Its totient is φ = 125284020690528.

The previous prime is 441135603268153. The next prime is 441135603268189. The reversal of 441135603268164 is 461862306531144.

441135603268164 is a `hidden beast` number, since 4 + 4 + 1 + 1 + 3 + 5 + 603 + 26 + 8 + 1 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 441135603268164.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 748438564 + ... + 749027739.

Almost surely, 2^{441135603268164} is an apocalyptic number.

It is an amenable number.

441135603268164 is an abundant number, since it is smaller than the sum of its proper divisors (863780493498300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

441135603268164 is a wasteful number, since it uses less digits than its factorization.

441135603268164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497466494 (or 1497466482 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 441135603268164 in words is "four hundred forty-one trillion, one hundred thirty-five billion, six hundred three million, two hundred sixty-eight thousand, one hundred sixty-four".