114032244040 has 192 divisors, whose sum is σ = 305022412800. Its totient is φ = 38111377920.

The previous prime is 114032244031. The next prime is 114032244047. The reversal of 114032244040 is 40442230411.

It is a junction number, because it is equal to n+sod(n) for n = 114032243996 and 114032244014.

It is not an unprimeable number, because it can be changed into a prime (114032244047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15034089 + ... + 15041671.

It is an arithmetic number, because the mean of its divisors is an integer number (1588658400).

Almost surely, 2^114032244040 is an apocalyptic number.

114032244040 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 114032244040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152511206400).

114032244040 is an abundant number, since it is smaller than the sum of its proper divisors (190990168760).

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

114032244040 is a wasteful number, since it uses less digits than its factorization.

114032244040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7868 (or 7853 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 114032244040 its reverse (40442230411), we get a palindrome (154474474451).

The spelling of 114032244040 in words is "one hundred fourteen billion, thirty-two million, two hundred forty-four thousand, forty".