442321108992 has 960 divisors, whose sum is σ = 1627181622000. Its totient is φ = 119057154048.

The previous prime is 442321108987. The next prime is 442321109057. The reversal of 442321108992 is 299801123244.

442321108992 is a `hidden beast` number, since 4 + 423 + 211 + 0 + 8 + 9 + 9 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2471067559 + ... + 2471067737.

Almost surely, 2^442321108992 is an apocalyptic number.

442321108992 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 442321108992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813590811000).

442321108992 is an abundant number, since it is smaller than the sum of its proper divisors (1184860513008).

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

442321108992 is an equidigital number, since it uses as much as digits as its factorization.

442321108992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 442321108992 in words is "four hundred forty-two billion, three hundred twenty-one million, one hundred eight thousand, nine hundred ninety-two".