114041414120 has 32 divisors (see below), whose sum is σ = 256932210600. Its totient is φ = 45556293888.

The previous prime is 114041414107. The next prime is 114041414159. The reversal of 114041414120 is 21414140411.

It can be written as a sum of positive squares in 4 ways, for example, as 112116486244 + 1924927876 = 334838^2 + 43874^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1852835 + ... + 1913394.

Almost surely, 2^114041414120 is an apocalyptic number.

114041414120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114041414120 is an abundant number, since it is smaller than the sum of its proper divisors (142890796480).

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

114041414120 is a wasteful number, since it uses less digits than its factorization.

114041414120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3766997 (or 3766993 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 114041414120 its reverse (21414140411), we get a palindrome (135455554531).

The spelling of 114041414120 in words is "one hundred fourteen billion, forty-one million, four hundred fourteen thousand, one hundred twenty".