113434413840 has 480 divisors, whose sum is σ = 434933591040. Its totient is φ = 26243481600.

The previous prime is 113434413817. The next prime is 113434413857. The reversal of 113434413840 is 48314434311.

113434413840 is a `hidden beast` number, since 1 + 134 + 3 + 441 + 3 + 84 + 0 = 666.

It is a super-3 number, since 3×113434413840³ (a number of 34 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 113434413795 and 113434413804.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17919796 + ... + 17926124.

It is an arithmetic number, because the mean of its divisors is an integer number (906111648).

Almost surely, 2^113434413840 is an apocalyptic number.

113434413840 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 113434413840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217466795520).

113434413840 is an abundant number, since it is smaller than the sum of its proper divisors (321499177200).

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

113434413840 is a wasteful number, since it uses less digits than its factorization.

113434413840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6463 (or 6454 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 113434413840 in words is "one hundred thirteen billion, four hundred thirty-four million, four hundred thirteen thousand, eight hundred forty".