11408004160 has 112 divisors (see below), whose sum is σ = 31132905984. Its totient is φ = 3900377088.

The previous prime is 11408004143. The next prime is 11408004161. The reversal of 11408004160 is 6140080411.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (11408004161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 815142 + ... + 829018.

Almost surely, 2^11408004160 is an apocalyptic number.

11408004160 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 11408004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15566452992).

11408004160 is an abundant number, since it is smaller than the sum of its proper divisors (19724901824).

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

11408004160 is a wasteful number, since it uses less digits than its factorization.

11408004160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14268 (or 14258 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 11408004160 its reverse (6140080411), we get a palindrome (17548084571).

The spelling of 11408004160 in words is "eleven billion, four hundred eight million, four thousand, one hundred sixty".