442058808804912 has 320 divisors, whose sum is σ = 1410626714112000. Its totient is φ = 131624004464640.

The previous prime is 442058808804911. The next prime is 442058808804917. The reversal of 442058808804912 is 219408808850244.

442058808804912 is a `hidden beast` number, since 4 + 4 + 2 + 0 + 588 + 0 + 8 + 8 + 0 + 49 + 1 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 442058808804912.

It is not an unprimeable number, because it can be changed into a prime (442058808804911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4526969464 + ... + 4527067112.

It is an arithmetic number, because the mean of its divisors is an integer number (4408208481600).

Almost surely, 2^{442058808804912} 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 442058808804912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705313357056000).

442058808804912 is an abundant number, since it is smaller than the sum of its proper divisors (968567905307088).

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

442058808804912 is a wasteful number, since it uses less digits than its factorization.

442058808804912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123713 (or 123701 counting only the distinct ones).

The product of its (nonzero) digits is 47185920, while the sum is 63.

The spelling of 442058808804912 in words is "four hundred forty-two trillion, fifty-eight billion, eight hundred eight million, eight hundred four thousand, nine hundred twelve".