442314717700700 has 108 divisors (see below), whose sum is σ = 1043795570807808. Its totient is φ = 162615274099200.

The previous prime is 442314717700699. The next prime is 442314717700703. The reversal of 442314717700700 is 7007717413244.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442314717700703) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52226396 + ... + 60101795.

It is an arithmetic number, because the mean of its divisors is an integer number (9664773803776).

Almost surely, 2^{442314717700700} is an apocalyptic number.

It is an amenable number.

442314717700700 is an abundant number, since it is smaller than the sum of its proper divisors (601480853107108).

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

442314717700700 is a wasteful number, since it uses less digits than its factorization.

442314717700700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112328464 (or 112328444 counting only the distinct ones).

The product of its (nonzero) digits is 921984, while the sum is 47.

The spelling of 442314717700700 in words is "four hundred forty-two trillion, three hundred fourteen billion, seven hundred seventeen million, seven hundred thousand, seven hundred".