44993039984640 has 960 divisors, whose sum is σ = 176161743838080. Its totient is φ = 10893028884480.

The previous prime is 44993039984623. The next prime is 44993039984731. The reversal of 44993039984640 is 4648993039944.

44993039984640 is a `hidden beast` number, since 4 + 4 + 99 + 30 + 399 + 84 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×44993039984640³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8001604869 + ... + 8001610491.

It is an arithmetic number, because the mean of its divisors is an integer number (183501816498).

Almost surely, 2^{44993039984640} is an apocalyptic number.

44993039984640 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 44993039984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88080871919040).

44993039984640 is an abundant number, since it is smaller than the sum of its proper divisors (131168703853440).

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

44993039984640 is a wasteful number, since it uses less digits than its factorization.

44993039984640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6550 (or 6521 counting only the distinct ones).

The product of its (nonzero) digits is 725594112, while the sum is 72.

The spelling of 44993039984640 in words is "forty-four trillion, nine hundred ninety-three billion, thirty-nine million, nine hundred eighty-four thousand, six hundred forty".