113938440000 has 1680 divisors, whose sum is σ = 506567846400. Its totient is φ = 22049280000.

The previous prime is 113938439983. The next prime is 113938440047. The reversal of 113938440000 is 44839311.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1931159971 + ... + 1931160029.

It is an arithmetic number, because the mean of its divisors is an integer number (301528480).

Almost surely, 2^113938440000 is an apocalyptic number.

113938440000 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 113938440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253283923200).

113938440000 is an abundant number, since it is smaller than the sum of its proper divisors (392629406400).

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

113938440000 is a wasteful number, since it uses less digits than its factorization.

113938440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 113938440000 in words is "one hundred thirteen billion, nine hundred thirty-eight million, four hundred forty thousand".