4400880480000 has 540 divisors, whose sum is σ = 15901988422320. Its totient is φ = 1170161664000.

The previous prime is 4400880479993. The next prime is 4400880480047. The reversal of 4400880480000 is 840880044.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 516955744 + ... + 516964256.

It is an arithmetic number, because the mean of its divisors is an integer number (29448126708).

Almost surely, 2^{4400880480000} is an apocalyptic number.

4400880480000 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 4400880480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7950994211160).

4400880480000 is an abundant number, since it is smaller than the sum of its proper divisors (11501107942320).

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

4400880480000 is an equidigital number, since it uses as much as digits as its factorization.

4400880480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8914 (or 8882 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 4400880480000 in words is "four trillion, four hundred billion, eight hundred eighty million, four hundred eighty thousand".