11131410400 has 72 divisors (see below), whose sum is σ = 29644993224. Its totient is φ = 4047782400.

The previous prime is 11131410361. The next prime is 11131410401. The reversal of 11131410400 is 401413111.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131410401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 623667 + ... + 641266.

It is an arithmetic number, because the mean of its divisors is an integer number (411736017).

Almost surely, 2^11131410400 is an apocalyptic number.

11131410400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11131410400 is an abundant number, since it is smaller than the sum of its proper divisors (18513582824).

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

11131410400 is a wasteful number, since it uses less digits than its factorization.

11131410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264964 (or 1264951 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11131410400 its reverse (401413111), we get a palindrome (11532823511).

The spelling of 11131410400 in words is "eleven billion, one hundred thirty-one million, four hundred ten thousand, four hundred".