44876974080 has 384 divisors, whose sum is σ = 149915525760. Its totient is φ = 11450449920.

The previous prime is 44876974033. The next prime is 44876974081. The reversal of 44876974080 is 8047967844.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 44876974080.

It is not an unprimeable number, because it can be changed into a prime (44876974081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70010560 + ... + 70011200.

It is an arithmetic number, because the mean of its divisors is an integer number (390405015).

Almost surely, 2^44876974080 is an apocalyptic number.

44876974080 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 44876974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74957762880).

44876974080 is an abundant number, since it is smaller than the sum of its proper divisors (105038551680).

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

44876974080 is a wasteful number, since it uses less digits than its factorization.

44876974080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 57.

The spelling of 44876974080 in words is "forty-four billion, eight hundred seventy-six million, nine hundred seventy-four thousand, eighty".