44044988952672 has 480 divisors, whose sum is σ = 132293791365120. Its totient is φ = 14372059806720.

The previous prime is 44044988952661. The next prime is 44044988952697. The reversal of 44044988952672 is 27625988944044.

44044988952672 is a `hidden beast` number, since 4 + 4 + 0 + 4 + 4 + 98 + 8 + 9 + 526 + 7 + 2 = 666.

It is a super-2 number, since 2×44044988952672² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 44044988952672.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20864512897 + ... + 20864515007.

It is an arithmetic number, because the mean of its divisors is an integer number (275612065344).

Almost surely, 2^{44044988952672} 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 44044988952672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66146895682560).

44044988952672 is an abundant number, since it is smaller than the sum of its proper divisors (88248802412448).

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

44044988952672 is a wasteful number, since it uses less digits than its factorization.

44044988952672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896 (or 2879 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 72.

The spelling of 44044988952672 in words is "forty-four trillion, forty-four billion, nine hundred eighty-eight million, nine hundred fifty-two thousand, six hundred seventy-two".