442131650021120 has 144 divisors (see below), whose sum is σ = 1091944711896192. Its totient is φ = 171421180170240.

The previous prime is 442131650021111. The next prime is 442131650021179. The reversal of 442131650021120 is 21120056131244.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23449742 + ... + 37870221.

It is an arithmetic number, because the mean of its divisors is an integer number (7582949388168).

Almost surely, 2^{442131650021120} is an apocalyptic number.

442131650021120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442131650021120 is an abundant number, since it is smaller than the sum of its proper divisors (649813061875072).

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

442131650021120 is a wasteful number, since it uses less digits than its factorization.

442131650021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61320158 (or 61320144 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 442131650021120 in words is "four hundred forty-two trillion, one hundred thirty-one billion, six hundred fifty million, twenty-one thousand, one hundred twenty".