113930386009440 has 6912 divisors, whose sum is σ = 568963325952000. Its totient is φ = 18761534668800.

The previous prime is 113930386009439. The next prime is 113930386009513. The reversal of 113930386009440 is 44900683039311.

It is a super-2 number, since 2×113930386009440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 572514502461 + ... + 572514502659.

It is an arithmetic number, because the mean of its divisors is an integer number (82315296000).

Almost surely, 2^{113930386009440} is an apocalyptic number.

113930386009440 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 113930386009440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284481662976000).

113930386009440 is an abundant number, since it is smaller than the sum of its proper divisors (455032939942560).

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

113930386009440 is a wasteful number, since it uses less digits than its factorization.

113930386009440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 51.

The spelling of 113930386009440 in words is "one hundred thirteen trillion, nine hundred thirty billion, three hundred eighty-six million, nine thousand, four hundred forty".