432024420234 has 96 divisors (see below), whose sum is σ = 977818000320. Its totient is φ = 127063537920.

The previous prime is 432024420199. The next prime is 432024420283.

432024420234 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×432024420234² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10966897 + ... + 11006219.

It is an arithmetic number, because the mean of its divisors is an integer number (10185604170).

Almost surely, 2^432024420234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432024420234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488909000160).

432024420234 is an abundant number, since it is smaller than the sum of its proper divisors (545793580086).

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

432024420234 is a wasteful number, since it uses less digits than its factorization.

432024420234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39796 (or 39785 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, 432024 and 420234, that added together give a palindrome (852258).

The spelling of 432024420234 in words is "four hundred thirty-two billion, twenty-four million, four hundred twenty thousand, two hundred thirty-four".