44672168956800 has 3072 divisors, whose sum is σ = 202865015808000. Its totient is φ = 8358897254400.

The previous prime is 44672168956783. The next prime is 44672168956841. The reversal of 44672168956800 is 865986127644.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 27289045582 + ... + 27289047218.

It is an arithmetic number, because the mean of its divisors is an integer number (66036789000).

Almost surely, 2^{44672168956800} is an apocalyptic number.

44672168956800 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 44672168956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101432507904000).

44672168956800 is an abundant number, since it is smaller than the sum of its proper divisors (158192846851200).

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

44672168956800 is a wasteful number, since it uses less digits than its factorization.

44672168956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 66.

The spelling of 44672168956800 in words is "forty-four trillion, six hundred seventy-two billion, one hundred sixty-eight million, nine hundred fifty-six thousand, eight hundred".