11408308800 has 336 divisors, whose sum is σ = 42971630592. Its totient is φ = 2595686400.

The previous prime is 11408308787. The next prime is 11408308831. The reversal of 11408308800 is 880380411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8836155 + ... + 8837445.

Almost surely, 2^11408308800 is an apocalyptic number.

11408308800 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 11408308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21485815296).

11408308800 is an abundant number, since it is smaller than the sum of its proper divisors (31563321792).

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

11408308800 is a wasteful number, since it uses less digits than its factorization.

11408308800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The spelling of 11408308800 in words is "eleven billion, four hundred eight million, three hundred eight thousand, eight hundred".