44480117204400 has 240 divisors, whose sum is σ = 144975822203520. Its totient is φ = 11654193715200.

The previous prime is 44480117204309. The next prime is 44480117204431. The reversal of 44480117204400 is 440271108444.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135276195 + ... + 135604605.

It is an arithmetic number, because the mean of its divisors is an integer number (604065925848).

Almost surely, 2^{44480117204400} is an apocalyptic number.

44480117204400 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 44480117204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72487911101760).

44480117204400 is an abundant number, since it is smaller than the sum of its proper divisors (100495704999120).

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

44480117204400 is a wasteful number, since it uses less digits than its factorization.

44480117204400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330404 (or 330393 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 39.

The spelling of 44480117204400 in words is "forty-four trillion, four hundred eighty billion, one hundred seventeen million, two hundred four thousand, four hundred".