114410330034 has 128 divisors (see below), whose sum is σ = 315531804672. Its totient is φ = 26689616640.

The previous prime is 114410330033. The next prime is 114410330039. The reversal of 114410330034 is 430033014411.

It is a junction number, because it is equal to n+sod(n) for n = 114410329986 and 114410330013.

It is not an unprimeable number, because it can be changed into a prime (114410330033) 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 63 ways as a sum of consecutive naturals, for example, 35202 + ... + 479645.

It is an arithmetic number, because the mean of its divisors is an integer number (2465092224).

Almost surely, 2^114410330034 is an apocalyptic number.

114410330034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114410330034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157765902336).

114410330034 is an abundant number, since it is smaller than the sum of its proper divisors (201121474638).

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

114410330034 is a wasteful number, since it uses less digits than its factorization.

114410330034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514920.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 114410330034 its reverse (430033014411), we get a palindrome (544443344445).

It can be divided in two parts, 114410 and 330034, that added together give a palindrome (444444).

The spelling of 114410330034 in words is "one hundred fourteen billion, four hundred ten million, three hundred thirty thousand, thirty-four".