44101921997376 has 672 divisors, whose sum is σ = 140043638124000. Its totient is φ = 13206772776960.

The previous prime is 44101921997261. The next prime is 44101921997383. The reversal of 44101921997376 is 67379912910144.

44101921997376 is a `hidden beast` number, since 4 + 41 + 0 + 1 + 9 + 219 + 9 + 7 + 376 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 2078856446976 + 42023065550400 = 1441824^2 + 6482520^2 .

It is a super-2 number, since 2×44101921997376² (a number of 28 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, 14407682886 + ... + 14407685946.

Almost surely, 2^{44101921997376} 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 44101921997376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70021819062000).

44101921997376 is an abundant number, since it is smaller than the sum of its proper divisors (95941716126624).

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

44101921997376 is a wasteful number, since it uses less digits than its factorization.

44101921997376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3687 (or 3674 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 44101921997376 in words is "forty-four trillion, one hundred one billion, nine hundred twenty-one million, nine hundred ninety-seven thousand, three hundred seventy-six".