11314544400 has 240 divisors, whose sum is σ = 40566500800. Its totient is φ = 2995107840.

The previous prime is 11314544383. The next prime is 11314544447. The reversal of 11314544400 is 444541311.

11314544400 is a `hidden beast` number, since 113 + 1 + 4 + 544 + 4 + 0 + 0 = 666.

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 (27).

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, 1497432 + ... + 1504968.

Almost surely, 2^11314544400 is an apocalyptic number.

11314544400 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 11314544400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20283250400).

11314544400 is an abundant number, since it is smaller than the sum of its proper divisors (29251956400).

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

11314544400 is a wasteful number, since it uses less digits than its factorization.

11314544400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7703 (or 7686 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 11314544400 in words is "eleven billion, three hundred fourteen million, five hundred forty-four thousand, four hundred".