442405825004 has 96 divisors (see below), whose sum is σ = 942983173440. Its totient is φ = 178832102400.

The previous prime is 442405824989. The next prime is 442405825007. The reversal of 442405825004 is 400528504244.

It is not an unprimeable number, because it can be changed into a prime (442405825007) 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, 7618142 + ... + 7675994.

It is an arithmetic number, because the mean of its divisors is an integer number (9822741390).

Almost surely, 2^442405825004 is an apocalyptic number.

442405825004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442405825004 is an abundant number, since it is smaller than the sum of its proper divisors (500577348436).

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

442405825004 is a wasteful number, since it uses less digits than its factorization.

442405825004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58371 (or 58369 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 38.

The spelling of 442405825004 in words is "four hundred forty-two billion, four hundred five million, eight hundred twenty-five thousand, four".