114333412340 has 192 divisors, whose sum is σ = 287592560640. Its totient is φ = 37354437120.

The previous prime is 114333412339. The next prime is 114333412343. The reversal of 114333412340 is 43214333411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114333412343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120731747 + ... + 120732693.

It is an arithmetic number, because the mean of its divisors is an integer number (1497877920).

Almost surely, 2^114333412340 is an apocalyptic number.

114333412340 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 114333412340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143796280320).

114333412340 is an abundant number, since it is smaller than the sum of its proper divisors (173259148300).

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

114333412340 is a wasteful number, since it uses less digits than its factorization.

114333412340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 114333412340 its reverse (43214333411), we get a palindrome (157547745751).

The spelling of 114333412340 in words is "one hundred fourteen billion, three hundred thirty-three million, four hundred twelve thousand, three hundred forty".