114130411024 has 80 divisors (see below), whose sum is σ = 256347342720. Its totient is φ = 48211338240.

The previous prime is 114130410973. The next prime is 114130411027. The reversal of 114130411024 is 420114031411.

It is a junction number, because it is equal to n+sod(n) for n = 114130410986 and 114130411004.

It is not an unprimeable number, because it can be changed into a prime (114130411027) 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, 15784242 + ... + 15791470.

It is an arithmetic number, because the mean of its divisors is an integer number (3204341784).

Almost surely, 2^114130411024 is an apocalyptic number.

114130411024 is a gapful number since it is divisible by the number (14) 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 114130411024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128173671360).

114130411024 is an abundant number, since it is smaller than the sum of its proper divisors (142216931696).

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

114130411024 is a wasteful number, since it uses less digits than its factorization.

114130411024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9248 (or 9242 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 114130411024 its reverse (420114031411), we get a palindrome (534244442435).

The spelling of 114130411024 in words is "one hundred fourteen billion, one hundred thirty million, four hundred eleven thousand, twenty-four".