113411434142400 has 672 divisors, whose sum is σ = 398710560057600. Its totient is φ = 28137557606400.

The previous prime is 113411434142393. The next prime is 113411434142401. The reversal of 113411434142400 is 4241434114311.

113411434142400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (113411434142401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3632753991 + ... + 3632785209.

It is an arithmetic number, because the mean of its divisors is an integer number (593319285800).

Almost surely, 2^{113411434142400} is an apocalyptic number.

113411434142400 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 113411434142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199355280028800).

113411434142400 is an abundant number, since it is smaller than the sum of its proper divisors (285299125915200).

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

113411434142400 is a wasteful number, since it uses less digits than its factorization.

113411434142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31977 (or 31962 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 113411434142400 its reverse (4241434114311), we get a palindrome (117652868256711).

The spelling of 113411434142400 in words is "one hundred thirteen trillion, four hundred eleven billion, four hundred thirty-four million, one hundred forty-two thousand, four hundred".