113954113700400 has 240 divisors, whose sum is σ = 385472919443840. Its totient is φ = 28696430131200.

The previous prime is 113954113700387. The next prime is 113954113700407. The reversal of 113954113700400 is 4007311459311.

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

It is not an unprimeable number, because it can be changed into a prime (113954113700407) 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, 847606 + ... + 15120405.

Almost surely, 2^{113954113700400} is an apocalyptic number.

113954113700400 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 113954113700400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192736459721920).

113954113700400 is an abundant number, since it is smaller than the sum of its proper divisors (271518805743440).

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

113954113700400 is a wasteful number, since it uses less digits than its factorization.

113954113700400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15968364 (or 15968353 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 113954113700400 in words is "one hundred thirteen trillion, nine hundred fifty-four billion, one hundred thirteen million, seven hundred thousand, four hundred".