113294039040 has 1920 divisors, whose sum is σ = 532756224000. Its totient is φ = 22359048192.

The previous prime is 113294039011. The next prime is 113294039057. The reversal of 113294039040 is 40930492311.

It is a tau number, because it is divible by the number of its divisors (1920).

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 = 113294038986 and 113294039004.

It is a congruent number.

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, 1434101721 + ... + 1434101799.

It is an arithmetic number, because the mean of its divisors is an integer number (277477200).

Almost surely, 2^113294039040 is an apocalyptic number.

113294039040 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 113294039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266378112000).

113294039040 is an abundant number, since it is smaller than the sum of its proper divisors (419462184960).

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

113294039040 is a wasteful number, since it uses less digits than its factorization.

113294039040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 113294039040 in words is "one hundred thirteen billion, two hundred ninety-four million, thirty-nine thousand, forty".