114304204240 has 80 divisors (see below), whose sum is σ = 281773304640. Its totient is φ = 42973562880.

The previous prime is 114304204213. The next prime is 114304204249. The reversal of 114304204240 is 42402403411.

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

It is a super-2 number, since 2×114304204240² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114304204249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 948175 + ... + 1061905.

It is an arithmetic number, because the mean of its divisors is an integer number (3522166308).

Almost surely, 2^114304204240 is an apocalyptic number.

114304204240 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 114304204240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140886652320).

114304204240 is an abundant number, since it is smaller than the sum of its proper divisors (167469100400).

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

114304204240 is a wasteful number, since it uses less digits than its factorization.

114304204240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114500 (or 114494 counting only the distinct ones).

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

Adding to 114304204240 its reverse (42402403411), we get a palindrome (156706607651).

The spelling of 114304204240 in words is "one hundred fourteen billion, three hundred four million, two hundred four thousand, two hundred forty".