114942935040 has 576 divisors, whose sum is σ = 412214624640. Its totient is φ = 27179089920.

The previous prime is 114942935011. The next prime is 114942935047. The reversal of 114942935040 is 40539249411.

It is a junction number, because it is equal to n+sod(n) for n = 114942934983 and 114942935001.

It is not an unprimeable number, because it can be changed into a prime (114942935047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 635043750 + ... + 635043930.

It is an arithmetic number, because the mean of its divisors is an integer number (715650390).

Almost surely, 2^114942935040 is an apocalyptic number.

114942935040 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 114942935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206107312320).

114942935040 is an abundant number, since it is smaller than the sum of its proper divisors (297271689600).

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

114942935040 is an equidigital number, since it uses as much as digits as its factorization.

114942935040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 114942935040 in words is "one hundred fourteen billion, nine hundred forty-two million, nine hundred thirty-five thousand, forty".