44400004000000 has 1008 divisors, whose sum is σ = 124504833817728. Its totient is φ = 15667200000000.

The previous prime is 44400003999961. The next prime is 44400004000091. The reversal of 44400004000000 is 40000444.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 431067999949 + ... + 431068000051.

It is an arithmetic number, because the mean of its divisors is an integer number (123516700216).

Almost surely, 2^{44400004000000} is an apocalyptic number.

44400004000000 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 44400004000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62252416908864).

44400004000000 is an abundant number, since it is smaller than the sum of its proper divisors (80104829817728).

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

44400004000000 is an equidigital number, since it uses as much as digits as its factorization.

44400004000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 44400004000000 its reverse (40000444), we get a palindrome (44400044000444).

The spelling of 44400004000000 in words is "forty-four trillion, four hundred billion, four million", and thus it is an aban number.