4398991811200 has 768 divisors, whose sum is σ = 13855175712000. Its totient is φ = 1345771929600.

The previous prime is 4398991811089. The next prime is 4398991811237. The reversal of 4398991811200 is 21181998934.

It is a super-2 number, since 2×4398991811200² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 506034054 + ... + 506042746.

It is an arithmetic number, because the mean of its divisors is an integer number (18040593375).

Almost surely, 2^{4398991811200} is an apocalyptic number.

4398991811200 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 4398991811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6927587856000).

4398991811200 is an abundant number, since it is smaller than the sum of its proper divisors (9456183900800).

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

4398991811200 is a wasteful number, since it uses less digits than its factorization.

4398991811200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8813 (or 8796 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 55.

The spelling of 4398991811200 in words is "four trillion, three hundred ninety-eight billion, nine hundred ninety-one million, eight hundred eleven thousand, two hundred".