444520138692 has 192 divisors, whose sum is σ = 1227485952000. Its totient is φ = 122637513600.

The previous prime is 444520138639. The next prime is 444520138709. The reversal of 444520138692 is 296831025444.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 674537059 + ... + 674537717.

It is an arithmetic number, because the mean of its divisors is an integer number (6393156000).

Almost surely, 2^444520138692 is an apocalyptic number.

444520138692 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 444520138692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613742976000).

444520138692 is an abundant number, since it is smaller than the sum of its proper divisors (782965813308).

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

444520138692 is a wasteful number, since it uses less digits than its factorization.

444520138692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 444520138692 in words is "four hundred forty-four billion, five hundred twenty million, one hundred thirty-eight thousand, six hundred ninety-two".