44479814400 has 648 divisors, whose sum is σ = 183619747584. Its totient is φ = 10062028800.

The previous prime is 44479814383. The next prime is 44479814429. The reversal of 44479814400 is 441897444.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43141885 + ... + 43142915.

It is an arithmetic number, because the mean of its divisors is an integer number (283363808).

Almost surely, 2^44479814400 is an apocalyptic number.

44479814400 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 44479814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91809873792).

44479814400 is an abundant number, since it is smaller than the sum of its proper divisors (139139933184).

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

44479814400 is a wasteful number, since it uses less digits than its factorization.

44479814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 44479814400 in words is "forty-four billion, four hundred seventy-nine million, eight hundred fourteen thousand, four hundred".