442205560623632 has 120 divisors (see below), whose sum is σ = 973937107082520. Its totient is φ = 193325190912000.

The previous prime is 442205560623611. The next prime is 442205560623737. The reversal of 442205560623632 is 236326065502244.

It can be written as a sum of positive squares in 4 ways, for example, as 21849117884416 + 420356442739216 = 4674304^2 + 20502596^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 525270494 + ... + 526111682.

It is an arithmetic number, because the mean of its divisors is an integer number (8116142559021).

Almost surely, 2^{442205560623632} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442205560623632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486968553541260).

442205560623632 is an abundant number, since it is smaller than the sum of its proper divisors (531731546458888).

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

442205560623632 is a wasteful number, since it uses less digits than its factorization.

442205560623632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848249 (or 848224 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 50.

The spelling of 442205560623632 in words is "four hundred forty-two trillion, two hundred five billion, five hundred sixty million, six hundred twenty-three thousand, six hundred thirty-two".