114105983040 has 560 divisors, whose sum is σ = 469530940032. Its totient is φ = 25763733504.

The previous prime is 114105983039. The next prime is 114105983041. The reversal of 114105983040 is 40389501411.

114105983040 is a `hidden beast` number, since 1 + 14 + 10 + 598 + 3 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (114105983039) and next prime (114105983041).

It is a tau number, because it is divible by the number of its divisors (560).

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 = 114105982986 and 114105983004.

It is not an unprimeable number, because it can be changed into a prime (114105983041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15055732 + ... + 15063308.

Almost surely, 2^114105983040 is an apocalyptic number.

114105983040 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 114105983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234765470016).

114105983040 is an abundant number, since it is smaller than the sum of its proper divisors (355424956992).

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

114105983040 is an equidigital number, since it uses as much as digits as its factorization.

114105983040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7696 (or 7677 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 114105983040 in words is "one hundred fourteen billion, one hundred five million, nine hundred eighty-three thousand, forty".