442102552603056 has 200 divisors, whose sum is σ = 1298611680166944. Its totient is φ = 145178104135680.

The previous prime is 442102552603031. The next prime is 442102552603081. The reversal of 442102552603056 is 650306255201244.

442102552603056 is a `hidden beast` number, since 4 + 4 + 2 + 1 + 0 + 2 + 552 + 60 + 30 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (442102552603031) and next prime (442102552603081).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 115623216 + ... + 119385648.

Almost surely, 2^{442102552603056} 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 442102552603056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649305840083472).

442102552603056 is an abundant number, since it is smaller than the sum of its proper divisors (856509127563888).

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

442102552603056 is a wasteful number, since it uses less digits than its factorization.

442102552603056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3763801 (or 3763786 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 442102552603056 in words is "four hundred forty-two trillion, one hundred two billion, five hundred fifty-two million, six hundred three thousand, fifty-six".