11409575328 has 192 divisors, whose sum is σ = 34767532800. Its totient is φ = 3635573760.

The previous prime is 11409575311. The next prime is 11409575341. The reversal of 11409575328 is 82357590411.

11409575328 is a `hidden beast` number, since 1 + 1 + 40 + 9 + 575 + 32 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2578558 + ... + 2582978.

It is an arithmetic number, because the mean of its divisors is an integer number (181080900).

Almost surely, 2^11409575328 is an apocalyptic number.

11409575328 is a gapful number since it is divisible by the number (18) 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 11409575328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17383766400).

11409575328 is an abundant number, since it is smaller than the sum of its proper divisors (23357957472).

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

11409575328 is a wasteful number, since it uses less digits than its factorization.

11409575328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4572 (or 4558 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 11409575328 in words is "eleven billion, four hundred nine million, five hundred seventy-five thousand, three hundred twenty-eight".