442100032526464 has 32 divisors (see below), whose sum is σ = 948495863056140. Its totient is φ = 204046168857600.

The previous prime is 442100032526407. The next prime is 442100032526473. The reversal of 442100032526464 is 464625230001244.

It can be written as a sum of positive squares in 2 ways, for example, as 442074173313600 + 25859212864 = 21025560^2 + 160808^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 442100032526464.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 132842556187 + ... + 132842559514.

Almost surely, 2^{442100032526464} is an apocalyptic number.

It is an amenable number.

442100032526464 is an abundant number, since it is smaller than the sum of its proper divisors (506395830529676).

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

442100032526464 is a wasteful number, since it uses less digits than its factorization.

442100032526464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265685115728 (or 265685115716 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 43.

The spelling of 442100032526464 in words is "four hundred forty-two trillion, one hundred billion, thirty-two million, five hundred twenty-six thousand, four hundred sixty-four".