44750048400 has 480 divisors, whose sum is σ = 164217525120. Its totient is φ = 11567646720.

The previous prime is 44750048303. The next prime is 44750048401. The reversal of 44750048400 is 484005744.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (44750048401) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 80340922 + ... + 80341478.

It is an arithmetic number, because the mean of its divisors is an integer number (342119844).

Almost surely, 2^44750048400 is an apocalyptic number.

44750048400 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 44750048400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82108762560).

44750048400 is an abundant number, since it is smaller than the sum of its proper divisors (119467476720).

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

44750048400 is a wasteful number, since it uses less digits than its factorization.

44750048400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 44750048400 in words is "forty-four billion, seven hundred fifty million, forty-eight thousand, four hundred".