4431680640 has 256 divisors, whose sum is σ = 16203801600. Its totient is φ = 1143521280.

The previous prime is 4431680633. The next prime is 4431680651. The reversal of 4431680640 is 460861344.

4431680640 is a `hidden beast` number, since 4 + 4 + 3 + 1 + 6 + 8 + 0 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4431680595 and 4431680604.

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, 531544 + ... + 539816.

It is an arithmetic number, because the mean of its divisors is an integer number (63296100).

Almost surely, 2^4431680640 is an apocalyptic number.

4431680640 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 4431680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8101900800).

4431680640 is an abundant number, since it is smaller than the sum of its proper divisors (11772120960).

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

4431680640 is a wasteful number, since it uses less digits than its factorization.

4431680640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8332 (or 8314 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4431680640 is about 66570.8693048243. The cubic root of 4431680640 is about 1642.5659613634.

The spelling of 4431680640 in words is "four billion, four hundred thirty-one million, six hundred eighty thousand, six hundred forty".