44940638066688 has 3072 divisors, whose sum is σ = 180300556800000. Its totient is φ = 10955933614080.

The previous prime is 44940638066671. The next prime is 44940638066713. The reversal of 44940638066688 is 88666083604944.

It is a tau number, because it is divible by the number of its divisors (3072).

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

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 255 ways as a sum of consecutive naturals, for example, 248290817958 + ... + 248290818138.

It is an arithmetic number, because the mean of its divisors is an integer number (58691587500).

Almost surely, 2^{44940638066688} is an apocalyptic number.

44940638066688 is a gapful number since it is divisible by the number (48) 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 44940638066688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90150278400000).

44940638066688 is an abundant number, since it is smaller than the sum of its proper divisors (135359918733312).

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

44940638066688 is a wasteful number, since it uses less digits than its factorization.

44940638066688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 1146617856, while the sum is 72.

The spelling of 44940638066688 in words is "forty-four trillion, nine hundred forty billion, six hundred thirty-eight million, sixty-six thousand, six hundred eighty-eight".