4438882560 has 432 divisors, whose sum is σ = 17045586432. Its totient is φ = 980582400.

The previous prime is 4438882549. The next prime is 4438882571. The reversal of 4438882560 is 652888344.

It is an interprime number because it is at equal distance from previous prime (4438882549) and next prime (4438882571).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 5832580 + ... + 5833340.

It is an arithmetic number, because the mean of its divisors is an integer number (39457376).

Almost surely, 2^4438882560 is an apocalyptic number.

4438882560 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 4438882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8522793216).

4438882560 is an abundant number, since it is smaller than the sum of its proper divisors (12606703872).

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

4438882560 is a wasteful number, since it uses less digits than its factorization.

4438882560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The square root of 4438882560 is about 66624.9394746442. The cubic root of 4438882560 is about 1643.4552572673.

The spelling of 4438882560 in words is "four billion, four hundred thirty-eight million, eight hundred eighty-two thousand, five hundred sixty".