11200404400 has 60 divisors (see below), whose sum is σ = 26939136400. Its totient is φ = 4475139840.

The previous prime is 11200404329. The next prime is 11200404433. The reversal of 11200404400 is 440400211.

11200404400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 11 ways as a sum of consecutive naturals, for example, 352366 + ... + 382834.

Almost surely, 2^11200404400 is an apocalyptic number.

11200404400 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 11200404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13469568200).

11200404400 is an abundant number, since it is smaller than the sum of its proper divisors (15738732000).

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

11200404400 is a wasteful number, since it uses less digits than its factorization.

11200404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31406 (or 31395 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 11200404400 its reverse (440400211), we get a palindrome (11640804611).

The spelling of 11200404400 in words is "eleven billion, two hundred million, four hundred four thousand, four hundred".