114232320240 has 80 divisors (see below), whose sum is σ = 355899840000. Its totient is φ = 30308864256.

The previous prime is 114232320227. The next prime is 114232320269. The reversal of 114232320240 is 42023232411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 114232320240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1148140 + ... + 1243659.

It is an arithmetic number, because the mean of its divisors is an integer number (4448748000).

Almost surely, 2^114232320240 is an apocalyptic number.

114232320240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114232320240 is an abundant number, since it is smaller than the sum of its proper divisors (241667519760).

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

114232320240 is a wasteful number, since it uses less digits than its factorization.

114232320240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392014 (or 2392008 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 114232320240 its reverse (42023232411), we get a palindrome (156255552651).

The spelling of 114232320240 in words is "one hundred fourteen billion, two hundred thirty-two million, three hundred twenty thousand, two hundred forty".