44876669604480 has 1280 divisors, whose sum is σ = 186543860025600. Its totient is φ = 10068403617792.

The previous prime is 44876669604461. The next prime is 44876669604523. The reversal of 44876669604480 is 8440696667844.

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

It is a junction number, because it is equal to n+sod(n) for n = 44876669604399 and 44876669604408.

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 159 ways as a sum of consecutive naturals, for example, 20061093922 + ... + 20061096158.

It is an arithmetic number, because the mean of its divisors is an integer number (145737390645).

Almost surely, 2^{44876669604480} is an apocalyptic number.

44876669604480 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 44876669604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93271930012800).

44876669604480 is an abundant number, since it is smaller than the sum of its proper divisors (141667190421120).

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

44876669604480 is a wasteful number, since it uses less digits than its factorization.

44876669604480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3271 (or 3250 counting only the distinct ones).

The product of its (nonzero) digits is 1337720832, while the sum is 72.

The spelling of 44876669604480 in words is "forty-four trillion, eight hundred seventy-six billion, six hundred sixty-nine million, six hundred four thousand, four hundred eighty".