11409100800 has 156 divisors (see below), whose sum is σ = 37722503760. Its totient is φ = 3042344960.

The previous prime is 11409100799. The next prime is 11409100811. The reversal of 11409100800 is 800190411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 288631 + ... + 325769.

Almost surely, 2^11409100800 is an apocalyptic number.

11409100800 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 11409100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18861251880).

11409100800 is an abundant number, since it is smaller than the sum of its proper divisors (26313402960).

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

11409100800 is an equidigital number, since it uses as much as digits as its factorization.

11409100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37176 (or 37149 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The spelling of 11409100800 in words is "eleven billion, four hundred nine million, one hundred thousand, eight hundred".