4464139680 has 1152 divisors, whose sum is σ = 21662484480. Its totient is φ = 806215680.

The previous prime is 4464139649. The next prime is 4464139709. The reversal of 4464139680 is 869314644.

4464139680 is a `hidden beast` number, since 446 + 41 + 3 + 96 + 80 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27387279 + ... + 27387441.

It is an arithmetic number, because the mean of its divisors is an integer number (18804240).

Almost surely, 2^4464139680 is an apocalyptic number.

4464139680 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 4464139680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10831242240).

4464139680 is an abundant number, since it is smaller than the sum of its proper divisors (17198344800).

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

4464139680 is a wasteful number, since it uses less digits than its factorization.

4464139680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4464139680 is about 66814.2176486412. The cubic root of 4464139680 is about 1646.5664356445.

The spelling of 4464139680 in words is "four billion, four hundred sixty-four million, one hundred thirty-nine thousand, six hundred eighty".