442017856000 has 320 divisors, whose sum is σ = 1271566543104. Its totient is φ = 150116352000.

The previous prime is 442017855959. The next prime is 442017856013. The reversal of 442017856000 is 658710244.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47931390 + ... + 47940610.

Almost surely, 2^442017856000 is an apocalyptic number.

442017856000 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 442017856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635783271552).

442017856000 is an abundant number, since it is smaller than the sum of its proper divisors (829548687104).

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

442017856000 is an equidigital number, since it uses as much as digits as its factorization.

442017856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9368 (or 9342 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The spelling of 442017856000 in words is "four hundred forty-two billion, seventeen million, eight hundred fifty-six thousand".