444630679920 has 160 divisors (see below), whose sum is σ = 1750292259840. Its totient is φ = 101629866240.

The previous prime is 444630679907. The next prime is 444630679963. The reversal of 444630679920 is 29976036444.

444630679920 is a `hidden beast` number, since 4 + 446 + 30 + 67 + 99 + 20 = 666.

It is a super-2 number, since 2×444630679920² (a number of 24 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14688276 + ... + 14718515.

It is an arithmetic number, because the mean of its divisors is an integer number (10939326624).

Almost surely, 2^444630679920 is an apocalyptic number.

444630679920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444630679920 is an abundant number, since it is smaller than the sum of its proper divisors (1305661579920).

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

444630679920 is a wasteful number, since it uses less digits than its factorization.

444630679920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29406820 (or 29406808 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 444630679920 in words is "four hundred forty-four billion, six hundred thirty million, six hundred seventy-nine thousand, nine hundred twenty".