113127414400 has 384 divisors, whose sum is σ = 375229733760. Its totient is φ = 32547225600.

The previous prime is 113127414353. The next prime is 113127414403. The reversal of 113127414400 is 4414721311.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (113127414403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3185542 + ... + 3220858.

It is an arithmetic number, because the mean of its divisors is an integer number (977160765).

Almost surely, 2^113127414400 is an apocalyptic number.

113127414400 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 113127414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187614866880).

113127414400 is an abundant number, since it is smaller than the sum of its proper divisors (262102319360).

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

113127414400 is a wasteful number, since it uses less digits than its factorization.

113127414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35372 (or 35355 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The spelling of 113127414400 in words is "one hundred thirteen billion, one hundred twenty-seven million, four hundred fourteen thousand, four hundred".