4431298560 has 480 divisors, whose sum is σ = 16294373760. Its totient is φ = 1019215872.

The previous prime is 4431298559. The next prime is 4431298577. The reversal of 4431298560 is 658921344.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60702684 + ... + 60702756.

It is an arithmetic number, because the mean of its divisors is an integer number (33946612).

Almost surely, 2^4431298560 is an apocalyptic number.

4431298560 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 4431298560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8147186880).

4431298560 is an abundant number, since it is smaller than the sum of its proper divisors (11863075200).

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

4431298560 is a wasteful number, since it uses less digits than its factorization.

4431298560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 4431298560 is about 66567.9995192885. Note that the first 3 decimals coincide. The cubic root of 4431298560 is about 1642.5187550708.

The spelling of 4431298560 in words is "four billion, four hundred thirty-one million, two hundred ninety-eight thousand, five hundred sixty".