442300563072 has 512 divisors, whose sum is σ = 1393127424000. Its totient is φ = 137857572864.

The previous prime is 442300563041. The next prime is 442300563091. The reversal of 442300563072 is 270365003244.

442300563072 is a `hidden beast` number, since 4 + 4 + 23 + 0 + 0 + 563 + 0 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 728666193 + ... + 728666799.

It is an arithmetic number, because the mean of its divisors is an integer number (2720952000).

Almost surely, 2^442300563072 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 442300563072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696563712000).

442300563072 is an abundant number, since it is smaller than the sum of its proper divisors (950826860928).

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

442300563072 is a wasteful number, since it uses less digits than its factorization.

442300563072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 442300563072 in words is "four hundred forty-two billion, three hundred million, five hundred sixty-three thousand, seventy-two".