44044263934416 has 320 divisors, whose sum is σ = 128843253504000. Its totient is φ = 14402351867904.

The previous prime is 44044263934403. The next prime is 44044263934421. The reversal of 44044263934416 is 61443936244044.

44044263934416 is a `hidden beast` number, since 4 + 4 + 0 + 442 + 63 + 93 + 44 + 16 = 666.

It is a super-2 number, since 2×44044263934416² (a number of 28 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7507115515 + ... + 7507121381.

It is an arithmetic number, because the mean of its divisors is an integer number (402635167200).

Almost surely, 2^{44044263934416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44044263934416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64421626752000).

44044263934416 is an abundant number, since it is smaller than the sum of its proper divisors (84798989569584).

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

44044263934416 is a wasteful number, since it uses less digits than its factorization.

44044263934416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6983 (or 6971 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 54.

The spelling of 44044263934416 in words is "forty-four trillion, forty-four billion, two hundred sixty-three million, nine hundred thirty-four thousand, four hundred sixteen".