442055323351100 has 36 divisors (see below), whose sum is σ = 959276194456608. Its totient is φ = 176819153712000.

The previous prime is 442055323351079. The next prime is 442055323351111. The reversal of 442055323351100 is 1153323550244.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31218521 + ... + 43112720.

It is an arithmetic number, because the mean of its divisors is an integer number (26646560957128).

Almost surely, 2^{442055323351100} is an apocalyptic number.

It is an amenable number.

442055323351100 is an abundant number, since it is smaller than the sum of its proper divisors (517220871105508).

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

442055323351100 is a wasteful number, since it uses less digits than its factorization.

442055323351100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74390726 (or 74390719 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 38.

The spelling of 442055323351100 in words is "four hundred forty-two trillion, fifty-five billion, three hundred twenty-three million, three hundred fifty-one thousand, one hundred".