442136610222164 has 72 divisors (see below), whose sum is σ = 915903841219080. Its totient is φ = 185509984746240.

The previous prime is 442136610222127. The next prime is 442136610222173. The reversal of 442136610222164 is 461222016631244.

It can be written as a sum of positive squares in 4 ways, for example, as 25512176717764 + 416624433504400 = 5050958^2 + 20411380^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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, 744506102 + ... + 745099730.

Almost surely, 2^{442136610222164} is an apocalyptic number.

442136610222164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442136610222164 is an abundant number, since it is smaller than the sum of its proper divisors (473767230996916).

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

442136610222164 is a wasteful number, since it uses less digits than its factorization.

442136610222164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712041 (or 712028 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 44.

The spelling of 442136610222164 in words is "four hundred forty-two trillion, one hundred thirty-six billion, six hundred ten million, two hundred twenty-two thousand, one hundred sixty-four".