442897329000 has 192 divisors, whose sum is σ = 1607446676160. Its totient is φ = 101233641600.

The previous prime is 442897328999. The next prime is 442897329029. The reversal of 442897329000 is 923798244.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1359454 + ... + 1653453.

It is an arithmetic number, because the mean of its divisors is an integer number (8372118105).

Almost surely, 2^442897329000 is an apocalyptic number.

442897329000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442897329000 is an abundant number, since it is smaller than the sum of its proper divisors (1164549347160).

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

442897329000 is a wasteful number, since it uses less digits than its factorization.

442897329000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012945 (or 3012924 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 442897329000 in words is "four hundred forty-two billion, eight hundred ninety-seven million, three hundred twenty-nine thousand".