4438618560 has 392 divisors, whose sum is σ = 16190915040. Its totient is φ = 1158064128.

The previous prime is 4438618559. The next prime is 4438618567. The reversal of 4438618560 is 658168344.

4438618560 is a `hidden beast` number, since 4 + 4 + 3 + 86 + 1 + 8 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4438618567) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12363661 + ... + 12364019.

Almost surely, 2^4438618560 is an apocalyptic number.

4438618560 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 4438618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8095457520).

4438618560 is an abundant number, since it is smaller than the sum of its proper divisors (11752296480).

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

4438618560 is an equidigital number, since it uses as much as digits as its factorization.

4438618560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4438618560 is about 66622.9582051112. The cubic root of 4438618560 is about 1643.4226754344.

The spelling of 4438618560 in words is "four billion, four hundred thirty-eight million, six hundred eighteen thousand, five hundred sixty".