442957122560 has 176 divisors, whose sum is σ = 1083166283520. Its totient is φ = 173764362240.

The previous prime is 442957122541. The next prime is 442957122589. The reversal of 442957122560 is 65221759244.

It is a super-3 number, since 3×442957122560³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147111455 + ... + 147114465.

Almost surely, 2^442957122560 is an apocalyptic number.

442957122560 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 442957122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541583141760).

442957122560 is an abundant number, since it is smaller than the sum of its proper divisors (640209160960).

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

442957122560 is a wasteful number, since it uses less digits than its factorization.

442957122560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3582 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 47.

The spelling of 442957122560 in words is "four hundred forty-two billion, nine hundred fifty-seven million, one hundred twenty-two thousand, five hundred sixty".