432120412230 has 256 divisors, whose sum is σ = 1208390400000. Its totient is φ = 98008694784.

The previous prime is 432120412177. The next prime is 432120412279. The reversal of 432120412230 is 32214021234.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 432120412230.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 129803206 + ... + 129806534.

It is an arithmetic number, because the mean of its divisors is an integer number (4720275000).

Almost surely, 2^432120412230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432120412230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604195200000).

432120412230 is an abundant number, since it is smaller than the sum of its proper divisors (776269987770).

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

432120412230 is a wasteful number, since it uses less digits than its factorization.

432120412230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3903.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 432120412230 its reverse (32214021234), we get a palindrome (464334433464).

It can be divided in two parts, 432120 and 412230, that added together give a triangular number (844350 = T₁₂₉₉).

The spelling of 432120412230 in words is "four hundred thirty-two billion, one hundred twenty million, four hundred twelve thousand, two hundred thirty".