444500112000 has 256 divisors, whose sum is σ = 1684021697280. Its totient is φ = 101599948800.

The previous prime is 444500111989. The next prime is 444500112029. The reversal of 444500112000 is 211005444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325459 + ... + 997458.

It is an arithmetic number, because the mean of its divisors is an integer number (6578209755).

Almost surely, 2^444500112000 is an apocalyptic number.

444500112000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444500112000 is an abundant number, since it is smaller than the sum of its proper divisors (1239521585280).

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

444500112000 is a wasteful number, since it uses less digits than its factorization.

444500112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322956 (or 1322934 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 444500112000 its reverse (211005444), we get a palindrome (444711117444).

The spelling of 444500112000 in words is "four hundred forty-four billion, five hundred million, one hundred twelve thousand".