234241142432 has 192 divisors, whose sum is σ = 516897158400. Its totient is φ = 103606272000.

The previous prime is 234241142413. The next prime is 234241142453.

It is a happy number.

234241142432 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 799457678 + ... + 799457970.

It is an arithmetic number, because the mean of its divisors is an integer number (2692172700).

Almost surely, 2^234241142432 is an apocalyptic number.

234241142432 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 234241142432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258448579200).

234241142432 is an abundant number, since it is smaller than the sum of its proper divisors (282656015968).

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

234241142432 is a wasteful number, since it uses less digits than its factorization.

234241142432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 719 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

It can be divided in two parts, 234241 and 142432, that added together give a palindrome (376673).

The spelling of 234241142432 in words is "two hundred thirty-four billion, two hundred forty-one million, one hundred forty-two thousand, four hundred thirty-two".