11266403400 has 1008 divisors, whose sum is σ = 48669541200. Its totient is φ = 2410248960.

The previous prime is 11266403399. The next prime is 11266403413. The reversal of 11266403400 is 430466211.

11266403400 is a `hidden beast` number, since 1 + 12 + 6 + 640 + 3 + 4 + 0 + 0 = 666.

11266403400 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 (27).

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 251 ways as a sum of consecutive naturals, for example, 135739759 + ... + 135739841.

It is an arithmetic number, because the mean of its divisors is an integer number (48283275).

Almost surely, 2^11266403400 is an apocalyptic number.

11266403400 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 11266403400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24334770600).

11266403400 is an abundant number, since it is smaller than the sum of its proper divisors (37403137800).

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

11266403400 is a wasteful number, since it uses less digits than its factorization.

11266403400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 11266403400 its reverse (430466211), we get a palindrome (11696869611).

The spelling of 11266403400 in words is "eleven billion, two hundred sixty-six million, four hundred three thousand, four hundred".