11439584640 has 512 divisors, whose sum is σ = 44804275200. Its totient is φ = 2769500160.

The previous prime is 11439584627. The next prime is 11439584659. The reversal of 11439584640 is 4648593411.

11439584640 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 9 + 584 + 64 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15396109 + ... + 15396851.

It is an arithmetic number, because the mean of its divisors is an integer number (87508350).

Almost surely, 2^11439584640 is an apocalyptic number.

11439584640 is a gapful number since it is divisible by the number (10) 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 11439584640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22402137600).

11439584640 is an abundant number, since it is smaller than the sum of its proper divisors (33364690560).

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

11439584640 is an frugal number, since it uses more digits than its factorization.

11439584640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 11439584640 in words is "eleven billion, four hundred thirty-nine million, five hundred eighty-four thousand, six hundred forty".