442027024560 has 1600 divisors, whose sum is σ = 1899405573120. Its totient is φ = 93879336960.

The previous prime is 442027024529. The next prime is 442027024589. The reversal of 442027024560 is 65420720244.

442027024560 is a `hidden beast` number, since 4 + 4 + 2 + 0 + 2 + 70 + 24 + 560 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1680710989 + ... + 1680711251.

Almost surely, 2^442027024560 is an apocalyptic number.

442027024560 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 442027024560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949702786560).

442027024560 is an abundant number, since it is smaller than the sum of its proper divisors (1457378548560).

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

442027024560 is a wasteful number, since it uses less digits than its factorization.

442027024560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 442027024560 in words is "four hundred forty-two billion, twenty-seven million, twenty-four thousand, five hundred sixty".