11312540400 has 240 divisors, whose sum is σ = 42843686400. Its totient is φ = 2496506880.

The previous prime is 11312540399. The next prime is 11312540413. The reversal of 11312540400 is 404521311.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220381 + ... + 266819.

It is an arithmetic number, because the mean of its divisors is an integer number (178515360).

Almost surely, 2^11312540400 is an apocalyptic number.

11312540400 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 11312540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21421843200).

11312540400 is an abundant number, since it is smaller than the sum of its proper divisors (31531146000).

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

11312540400 is a wasteful number, since it uses less digits than its factorization.

11312540400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46496 (or 46485 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The spelling of 11312540400 in words is "eleven billion, three hundred twelve million, five hundred forty thousand, four hundred".