113414110400 has 84 divisors (see below), whose sum is σ = 279203158128. Its totient is φ = 45343933440.

The previous prime is 113414110391. The next prime is 113414110477. The reversal of 113414110400 is 4011414311.

113414110400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3563357 + ... + 3595043.

Almost surely, 2^113414110400 is an apocalyptic number.

113414110400 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 113414110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139601579064).

113414110400 is an abundant number, since it is smaller than the sum of its proper divisors (165789047728).

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

113414110400 is a wasteful number, since it uses less digits than its factorization.

113414110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33946 (or 33931 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 113414110400 its reverse (4011414311), we get a palindrome (117425524711).

The spelling of 113414110400 in words is "one hundred thirteen billion, four hundred fourteen million, one hundred ten thousand, four hundred".