432430240242 has 192 divisors, whose sum is σ = 1174152360960. Its totient is φ = 103097030400.

The previous prime is 432430240237. The next prime is 432430240243. The reversal of 432430240242 is 242042034234.

It is a super-3 number, since 3×432430240242³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (432430240243) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13960492 + ... + 13991432.

It is an arithmetic number, because the mean of its divisors is an integer number (6115376880).

Almost surely, 2^432430240242 is an apocalyptic number.

432430240242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 432430240242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587076180480).

432430240242 is an abundant number, since it is smaller than the sum of its proper divisors (741722120718).

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

432430240242 is a wasteful number, since it uses less digits than its factorization.

432430240242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31169 (or 31156 counting only the distinct ones).

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

Adding to 432430240242 its reverse (242042034234), we get a palindrome (674472274476).

The spelling of 432430240242 in words is "four hundred thirty-two billion, four hundred thirty million, two hundred forty thousand, two hundred forty-two".