442211410412564 has 96 divisors (see below), whose sum is σ = 907555738037760. Its totient is φ = 186771885696000.

The previous prime is 442211410412531. The next prime is 442211410412623. The reversal of 442211410412564 is 465214014112244.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49951484 + ... + 58134099.

It is an arithmetic number, because the mean of its divisors is an integer number (9453705604560).

Almost surely, 2^{442211410412564} is an apocalyptic number.

It is an amenable number.

442211410412564 is an abundant number, since it is smaller than the sum of its proper divisors (465344327625196).

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

442211410412564 is a wasteful number, since it uses less digits than its factorization.

442211410412564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108085761 (or 108085759 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 41.

The spelling of 442211410412564 in words is "four hundred forty-two trillion, two hundred eleven billion, four hundred ten million, four hundred twelve thousand, five hundred sixty-four".