4438408980720 has 640 divisors, whose sum is σ = 16460216478720. Its totient is φ = 975139799040.

The previous prime is 4438408980701. The next prime is 4438408980727. The reversal of 4438408980720 is 270898048344.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4438408980727) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 728919436 + ... + 728925524.

It is an arithmetic number, because the mean of its divisors is an integer number (25719088248).

Almost surely, 2^{4438408980720} is an apocalyptic number.

4438408980720 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 4438408980720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8230108239360).

4438408980720 is an abundant number, since it is smaller than the sum of its proper divisors (12021807498000).

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

4438408980720 is a wasteful number, since it uses less digits than its factorization.

4438408980720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6513 (or 6507 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 57.

The spelling of 4438408980720 in words is "four trillion, four hundred thirty-eight billion, four hundred eight million, nine hundred eighty thousand, seven hundred twenty".