113821943040 has 288 divisors, whose sum is σ = 434981514240. Its totient is φ = 28017598464.

The previous prime is 113821943017. The next prime is 113821943051. The reversal of 113821943040 is 40349128311.

113821943040 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 219 + 430 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 113821942986 and 113821943004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322609 + ... + 575951.

It is an arithmetic number, because the mean of its divisors is an integer number (1510352480).

Almost surely, 2^113821943040 is an apocalyptic number.

113821943040 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 113821943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217490757120).

113821943040 is an abundant number, since it is smaller than the sum of its proper divisors (321159571200).

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

113821943040 is a wasteful number, since it uses less digits than its factorization.

113821943040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253386 (or 253366 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 113821943040 in words is "one hundred thirteen billion, eight hundred twenty-one million, nine hundred forty-three thousand, forty".