442541523002004 has 48 divisors (see below), whose sum is σ = 1174011964565440. Its totient is φ = 144083286557280.

The previous prime is 442541523001993. The next prime is 442541523002039. The reversal of 442541523002004 is 400200325145244.

442541523002004 is a `hidden beast` number, since 4 + 4 + 2 + 5 + 415 + 2 + 30 + 0 + 200 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 442541523002004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47646584827 + ... + 47646594114.

Almost surely, 2^{442541523002004} is an apocalyptic number.

It is an amenable number.

442541523002004 is an abundant number, since it is smaller than the sum of its proper divisors (731470441563436).

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

442541523002004 is a wasteful number, since it uses less digits than its factorization.

442541523002004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95293178997 (or 95293178989 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 442541523002004 its reverse (400200325145244), we get a palindrome (842741848147248).

The spelling of 442541523002004 in words is "four hundred forty-two trillion, five hundred forty-one billion, five hundred twenty-three million, two thousand, four".