113413478400 has 1440 divisors, whose sum is σ = 464496832800. Its totient is φ = 27249868800.

The previous prime is 113413478383. The next prime is 113413478401. The reversal of 113413478400 is 4874314311.

113413478400 is a `hidden beast` number, since 1 + 134 + 13 + 478 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113413478401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2766182380 + ... + 2766182420.

It is an arithmetic number, because the mean of its divisors is an integer number (322567245).

Almost surely, 2^113413478400 is an apocalyptic number.

113413478400 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 113413478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232248416400).

113413478400 is an abundant number, since it is smaller than the sum of its proper divisors (351083354400).

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

113413478400 is a wasteful number, since it uses less digits than its factorization.

113413478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 113413478400 in words is "one hundred thirteen billion, four hundred thirteen million, four hundred seventy-eight thousand, four hundred".