44289806400 has 1008 divisors, whose sum is σ = 191447806080. Its totient is φ = 9957427200.

The previous prime is 44289806377. The next prime is 44289806401. The reversal of 44289806400 is 460898244.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is not an unprimeable number, because it can be changed into a prime (44289806401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 726062370 + ... + 726062430.

Almost surely, 2^44289806400 is an apocalyptic number.

44289806400 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 44289806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95723903040).

44289806400 is an abundant number, since it is smaller than the sum of its proper divisors (147157999680).

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

44289806400 is an frugal number, since it uses more digits than its factorization.

44289806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 44289806400 in words is "forty-four billion, two hundred eighty-nine million, eight hundred six thousand, four hundred".