113235071040 has 1120 divisors, whose sum is σ = 504517542144. Its totient is φ = 23469834240.

The previous prime is 113235071021. The next prime is 113235071069. The reversal of 113235071040 is 40170532311.

113235071040 is a `hidden beast` number, since 113 + 2 + 3 + 507 + 1 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 113235070995 and 113235071013.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 143881527 + ... + 143882313.

Almost surely, 2^113235071040 is an apocalyptic number.

113235071040 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 113235071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252258771072).

113235071040 is an abundant number, since it is smaller than the sum of its proper divisors (391282471104).

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

113235071040 is a wasteful number, since it uses less digits than its factorization.

113235071040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 113235071040 in words is "one hundred thirteen billion, two hundred thirty-five million, seventy-one thousand, forty".