11431304400 has 240 divisors, whose sum is σ = 38833625600. Its totient is φ = 2866337280.

The previous prime is 11431304399. The next prime is 11431304449. The reversal of 11431304400 is 440313411.

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

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, 3167397 + ... + 3171003.

Almost surely, 2^11431304400 is an apocalyptic number.

11431304400 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 11431304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19416812800).

11431304400 is an abundant number, since it is smaller than the sum of its proper divisors (27402321200).

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

11431304400 is a wasteful number, since it uses less digits than its factorization.

11431304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3786 (or 3775 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 11431304400 its reverse (440313411), we get a palindrome (11871617811).

The spelling of 11431304400 in words is "eleven billion, four hundred thirty-one million, three hundred four thousand, four hundred".