442120726656 has 960 divisors, whose sum is σ = 1620476953920. Its totient is φ = 117180628992.

The previous prime is 442120726633. The next prime is 442120726681. The reversal of 442120726656 is 656627021244.

442120726656 is a `hidden beast` number, since 442 + 120 + 7 + 26 + 65 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2244267550 + ... + 2244267746.

It is an arithmetic number, because the mean of its divisors is an integer number (1687996827).

Almost surely, 2^442120726656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442120726656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810238476960).

442120726656 is an abundant number, since it is smaller than the sum of its proper divisors (1178356227264).

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

442120726656 is a wasteful number, since it uses less digits than its factorization.

442120726656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 442120726656 in words is "four hundred forty-two billion, one hundred twenty million, seven hundred twenty-six thousand, six hundred fifty-six".