114120414024 has 32 divisors (see below), whose sum is σ = 285828426240. Its totient is φ = 37969819200.

The previous prime is 114120414017. The next prime is 114120414029. The reversal of 114120414024 is 420414021411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 114120413985 and 114120414003.

It is not an unprimeable number, because it can be changed into a prime (114120414029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4381672 + ... + 4407639.

It is an arithmetic number, because the mean of its divisors is an integer number (8932138320).

Almost surely, 2^114120414024 is an apocalyptic number.

It is an amenable number.

114120414024 is an abundant number, since it is smaller than the sum of its proper divisors (171708012216).

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

114120414024 is a wasteful number, since it uses less digits than its factorization.

114120414024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8789861 (or 8789857 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 114120414024 its reverse (420414021411), we get a palindrome (534534435435).

The spelling of 114120414024 in words is "one hundred fourteen billion, one hundred twenty million, four hundred fourteen thousand, twenty-four".