442509074081592 has 256 divisors, whose sum is σ = 1295028984130560. Its totient is φ = 123396009099264.

The previous prime is 442509074081567. The next prime is 442509074081687. The reversal of 442509074081592 is 295180470905244.

It is a congruent number.

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, 9841604503 + ... + 9841649465.

It is an arithmetic number, because the mean of its divisors is an integer number (5058706969260).

Almost surely, 2^{442509074081592} is an apocalyptic number.

442509074081592 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442509074081592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647514492065280).

442509074081592 is an abundant number, since it is smaller than the sum of its proper divisors (852519910048968).

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

442509074081592 is a wasteful number, since it uses less digits than its factorization.

442509074081592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53422 (or 53418 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 60.

The spelling of 442509074081592 in words is "four hundred forty-two trillion, five hundred nine billion, seventy-four million, eighty-one thousand, five hundred ninety-two".