442875898080000 has 3240 divisors, whose sum is σ = 2066155279668480. Its totient is φ = 92009364480000.

The previous prime is 442875898079987. The next prime is 442875898080089. The reversal of 442875898080000 is 80898578244.

442875898080000 is a `hidden beast` number, since 4 + 42 + 8 + 7 + 589 + 8 + 0 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a super-2 number, since 2×442875898080000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 442875898080000.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 80831517261 + ... + 80831522739.

Almost surely, 2^{442875898080000} is an apocalyptic number.

442875898080000 is a gapful number since it is divisible by the number (40) 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 442875898080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033077639834240).

442875898080000 is an abundant number, since it is smaller than the sum of its proper divisors (1623279381588480).

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

442875898080000 is an frugal number, since it uses more digits than its factorization.

442875898080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5557 (or 5507 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 442875898080000 in words is "four hundred forty-two trillion, eight hundred seventy-five billion, eight hundred ninety-eight million, eighty thousand".