114913943040 has 960 divisors, whose sum is σ = 427016240640. Its totient is φ = 26300252160.

The previous prime is 114913943021. The next prime is 114913943041. The reversal of 114913943040 is 40349319411.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 114913943040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114913943041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1618506205 + ... + 1618506275.

It is an arithmetic number, because the mean of its divisors is an integer number (444808584).

Almost surely, 2^114913943040 is an apocalyptic number.

114913943040 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 114913943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213508120320).

114913943040 is an abundant number, since it is smaller than the sum of its proper divisors (312102297600).

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

114913943040 is a wasteful number, since it uses less digits than its factorization.

114913943040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 114913943040 in words is "one hundred fourteen billion, nine hundred thirteen million, nine hundred forty-three thousand, forty".