234024420432 has 160 divisors (see below), whose sum is σ = 678378723840. Its totient is φ = 68894876160.

The previous prime is 234024420359. The next prime is 234024420433.

234024420432 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 234024420432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234024420433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13334319 + ... + 13351857.

It is an arithmetic number, because the mean of its divisors is an integer number (4239867024).

Almost surely, 2^234024420432 is an apocalyptic number.

234024420432 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 234024420432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339189361920).

234024420432 is an abundant number, since it is smaller than the sum of its proper divisors (444354303408).

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

234024420432 is a wasteful number, since it uses less digits than its factorization.

234024420432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18281 (or 18275 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 234024 and 420432, that added together give a palindrome (654456).

The spelling of 234024420432 in words is "two hundred thirty-four billion, twenty-four million, four hundred twenty thousand, four hundred thirty-two".