442925936640 has 1664 divisors, whose sum is σ = 1857011097600. Its totient is φ = 100329062400.

The previous prime is 442925936617. The next prime is 442925936681. The reversal of 442925936640 is 46639529244.

442925936640 is a `hidden beast` number, since 4 + 4 + 2 + 9 + 2 + 593 + 6 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14287933425 + ... + 14287933455.

Almost surely, 2^442925936640 is an apocalyptic number.

442925936640 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 442925936640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928505548800).

442925936640 is an abundant number, since it is smaller than the sum of its proper divisors (1414085160960).

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

442925936640 is an equidigital number, since it uses as much as digits as its factorization.

442925936640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 442925936640 in words is "four hundred forty-two billion, nine hundred twenty-five million, nine hundred thirty-six thousand, six hundred forty".