234042240432 has 720 divisors, whose sum is σ = 858764035584. Its totient is φ = 53638041600.

The previous prime is 234042240427. The next prime is 234042240451.

234042240432 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 234042240432.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 158029132 + ... + 158030612.

Almost surely, 2^234042240432 is an apocalyptic number.

234042240432 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 234042240432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429382017792).

234042240432 is an abundant number, since it is smaller than the sum of its proper divisors (624721795152).

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

234042240432 is a wasteful number, since it uses less digits than its factorization.

234042240432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1540 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, 234042 and 240432, that added together give a palindrome (474474).

The spelling of 234042240432 in words is "two hundred thirty-four billion, forty-two million, two hundred forty thousand, four hundred thirty-two".