113402414400 has 672 divisors, whose sum is σ = 424757575680. Its totient is φ = 26237952000.

The previous prime is 113402414399. The next prime is 113402414423. The reversal of 113402414400 is 4414204311.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129306762 + ... + 129307638.

Almost surely, 2^113402414400 is an apocalyptic number.

113402414400 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 113402414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212378787840).

113402414400 is an abundant number, since it is smaller than the sum of its proper divisors (311355161280).

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

113402414400 is a wasteful number, since it uses less digits than its factorization.

113402414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 113402414400 its reverse (4414204311), we get a palindrome (117816618711).

The spelling of 113402414400 in words is "one hundred thirteen billion, four hundred two million, four hundred fourteen thousand, four hundred".