234014410432 has 168 divisors, whose sum is σ = 533555070048. Its totient is φ = 101566586880.

The previous prime is 234014410403. The next prime is 234014410451.

234014410432 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 234014410432.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180426808 + ... + 180428104.

It is an arithmetic number, because the mean of its divisors is an integer number (3175923036).

Almost surely, 2^234014410432 is an apocalyptic number.

234014410432 is a gapful number since it is divisible by the number (22) 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 234014410432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266777535024).

234014410432 is an abundant number, since it is smaller than the sum of its proper divisors (299540659616).

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

234014410432 is a wasteful number, since it uses less digits than its factorization.

234014410432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2346 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 234014 and 410432, that added together give a palindrome (644446).

The spelling of 234014410432 in words is "two hundred thirty-four billion, fourteen million, four hundred ten thousand, four hundred thirty-two".