234420024432 has 160 divisors (see below), whose sum is σ = 700382029824. Its totient is φ = 66886732800.

The previous prime is 234420024431. The next prime is 234420024479.

234420024432 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 234420024432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234420024431) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 412078 + ... + 799154.

Almost surely, 2^234420024432 is an apocalyptic number.

234420024432 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 234420024432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350191014912).

234420024432 is an abundant number, since it is smaller than the sum of its proper divisors (465962005392).

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

234420024432 is a wasteful number, since it uses less digits than its factorization.

234420024432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387167 (or 387161 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, 2344200 and 24432, that added together give a palindrome (2368632).

The spelling of 234420024432 in words is "two hundred thirty-four billion, four hundred twenty million, twenty-four thousand, four hundred thirty-two".