11129426400 has 72 divisors (see below), whose sum is σ = 36226290744. Its totient is φ = 2967846400.

The previous prime is 11129426389. The next prime is 11129426419. The reversal of 11129426400 is 462492111.

11129426400 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 (30).

It is a congruent number.

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, 2316231 + ... + 2321030.

It is an arithmetic number, because the mean of its divisors is an integer number (503142927).

Almost surely, 2^11129426400 is an apocalyptic number.

11129426400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11129426400 is an abundant number, since it is smaller than the sum of its proper divisors (25096864344).

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

11129426400 is a wasteful number, since it uses less digits than its factorization.

11129426400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4637284 (or 4637271 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 11129426400 in words is "eleven billion, one hundred twenty-nine million, four hundred twenty-six thousand, four hundred".