11409876000 has 384 divisors, whose sum is σ = 42975878400. Its totient is φ = 2936908800.

The previous prime is 11409875951. The next prime is 11409876007. The reversal of 11409876000 is 67890411.

11409876000 is a `hidden beast` number, since 1 + 1 + 40 + 9 + 8 + 7 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11409876007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3130179 + ... + 3133821.

It is an arithmetic number, because the mean of its divisors is an integer number (111916350).

Almost surely, 2^11409876000 is an apocalyptic number.

11409876000 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 11409876000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21487939200).

11409876000 is an abundant number, since it is smaller than the sum of its proper divisors (31566002400).

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

11409876000 is a wasteful number, since it uses less digits than its factorization.

11409876000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3706 (or 3682 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 11409876000 in words is "eleven billion, four hundred nine million, eight hundred seventy-six thousand".