44379703872000 has 5120 divisors, whose sum is σ = 215172628070400. Its totient is φ = 8771626598400.

The previous prime is 44379703871999. The next prime is 44379703872011. The reversal of 44379703872000 is 27830797344.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 144559295847 + ... + 144559296153.

It is an arithmetic number, because the mean of its divisors is an integer number (42025903920).

Almost surely, 2^{44379703872000} is an apocalyptic number.

44379703872000 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 44379703872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107586314035200).

44379703872000 is an abundant number, since it is smaller than the sum of its proper divisors (170792924198400).

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

44379703872000 is a wasteful number, since it uses less digits than its factorization.

44379703872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 44379703872000 in words is "forty-four trillion, three hundred seventy-nine billion, seven hundred three million, eight hundred seventy-two thousand".