114260040720 has 640 divisors, whose sum is σ = 457418342400. Its totient is φ = 25677969408.

The previous prime is 114260040703. The next prime is 114260040731. The reversal of 114260040720 is 27040062411.

114260040720 is a `hidden beast` number, since 1 + 14 + 2 + 600 + 40 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 301477491 + ... + 301477869.

It is an arithmetic number, because the mean of its divisors is an integer number (714716160).

Almost surely, 2^114260040720 is an apocalyptic number.

114260040720 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 114260040720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228709171200).

114260040720 is an abundant number, since it is smaller than the sum of its proper divisors (343158301680).

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

114260040720 is a wasteful number, since it uses less digits than its factorization.

114260040720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 114260040720 in words is "one hundred fourteen billion, two hundred sixty million, forty thousand, seven hundred twenty".