442022323220244 has 72 divisors (see below), whose sum is σ = 1203397265444192. Its totient is φ = 135993952261440.

The previous prime is 442022323220239. The next prime is 442022323220281.

442022323220244 is a `hidden beast` number, since 4 + 42 + 0 + 22 + 32 + 322 + 0 + 244 = 666.

442022323220244 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 442022323220199 and 442022323220208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39914914 + ... + 49771929.

Almost surely, 2^{442022323220244} is an apocalyptic number.

It is an amenable number.

442022323220244 is an abundant number, since it is smaller than the sum of its proper divisors (761374942223948).

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

442022323220244 is a wasteful number, since it uses less digits than its factorization.

442022323220244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89697397 (or 89697392 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

The spelling of 442022323220244 in words is "four hundred forty-two trillion, twenty-two billion, three hundred twenty-three million, two hundred twenty thousand, two hundred forty-four".