11408026304 has 56 divisors (see below), whose sum is σ = 23283678096. Its totient is φ = 5542400000.

The previous prime is 11408026297. The next prime is 11408026337. The reversal of 11408026304 is 40362080411.

11408026304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 649964 + ... + 667284.

It is an arithmetic number, because the mean of its divisors is an integer number (415779966).

Almost surely, 2^11408026304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11408026304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11641839048).

11408026304 is an abundant number, since it is smaller than the sum of its proper divisors (11875651792).

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

11408026304 is a wasteful number, since it uses less digits than its factorization.

11408026304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17625 (or 17615 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The spelling of 11408026304 in words is "eleven billion, four hundred eight million, twenty-six thousand, three hundred four".