114719208240 has 640 divisors, whose sum is σ = 471389829120. Its totient is φ = 22390308864.

The previous prime is 114719208187. The next prime is 114719208353. The reversal of 114719208240 is 42802917411.

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

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, 21902902 + ... + 21908138.

It is an arithmetic number, because the mean of its divisors is an integer number (736546608).

Almost surely, 2^114719208240 is an apocalyptic number.

114719208240 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 114719208240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235694914560).

114719208240 is an abundant number, since it is smaller than the sum of its proper divisors (356670620880).

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

114719208240 is a wasteful number, since it uses less digits than its factorization.

114719208240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5349 (or 5343 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 114719208240 in words is "one hundred fourteen billion, seven hundred nineteen million, two hundred eight thousand, two hundred forty".