114424414340 has 96 divisors (see below), whose sum is σ = 256906460160. Its totient is φ = 42714201600.

The previous prime is 114424414339. The next prime is 114424414361. The reversal of 114424414340 is 43414424411.

It is a junction number, because it is equal to n+sod(n) for n = 114424414297 and 114424414306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16915799 + ... + 16922561.

It is an arithmetic number, because the mean of its divisors is an integer number (2676108960).

Almost surely, 2^114424414340 is an apocalyptic number.

114424414340 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 114424414340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128453230080).

114424414340 is an abundant number, since it is smaller than the sum of its proper divisors (142482045820).

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

114424414340 is a wasteful number, since it uses less digits than its factorization.

114424414340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7773 (or 7771 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 114424414340 its reverse (43414424411), we get a palindrome (157838838751).

The spelling of 114424414340 in words is "one hundred fourteen billion, four hundred twenty-four million, four hundred fourteen thousand, three hundred forty".