442522831340772 has 216 divisors, whose sum is σ = 1449643760019000. Its totient is φ = 112684858739712.

The previous prime is 442522831340753. The next prime is 442522831340797. The reversal of 442522831340772 is 277043138225244.

442522831340772 is a `hidden beast` number, since 4 + 4 + 2 + 5 + 228 + 3 + 1 + 3 + 407 + 7 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24685733888676 + 417837097452096 = 4968474^2 + 20441064^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 332044897 + ... + 333374952.

Almost surely, 2^{442522831340772} is an apocalyptic number.

442522831340772 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

442522831340772 is an abundant number, since it is smaller than the sum of its proper divisors (1007120928678228).

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

442522831340772 is a wasteful number, since it uses less digits than its factorization.

442522831340772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665419915 (or 665419903 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 54.

The spelling of 442522831340772 in words is "four hundred forty-two trillion, five hundred twenty-two billion, eight hundred thirty-one million, three hundred forty thousand, seven hundred seventy-two".