11311418400 has 144 divisors (see below), whose sum is σ = 38419665984. Its totient is φ = 2885217280.

The previous prime is 11311418389. The next prime is 11311418413. The reversal of 11311418400 is 481411311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47259 + ... + 157658.

It is an arithmetic number, because the mean of its divisors is an integer number (266803236).

Almost surely, 2^11311418400 is an apocalyptic number.

11311418400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11311418400 is an abundant number, since it is smaller than the sum of its proper divisors (27108247584).

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

11311418400 is a wasteful number, since it uses less digits than its factorization.

11311418400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204963 (or 204950 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 11311418400 its reverse (481411311), we get a palindrome (11792829711).

The spelling of 11311418400 in words is "eleven billion, three hundred eleven million, four hundred eighteen thousand, four hundred".