432441012312 has 96 divisors (see below), whose sum is σ = 1222870128480. Its totient is φ = 137794652160.

The previous prime is 432441012257. The next prime is 432441012313. The reversal of 432441012312 is 213210144234.

432441012312 is a `hidden beast` number, since 4 + 3 + 244 + 101 + 2 + 312 = 666.

432441012312 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432441012313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2631112 + ... + 2790632.

It is an arithmetic number, because the mean of its divisors is an integer number (12738230505).

Almost surely, 2^432441012312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432441012312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611435064240).

432441012312 is an abundant number, since it is smaller than the sum of its proper divisors (790429116168).

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

432441012312 is a wasteful number, since it uses less digits than its factorization.

432441012312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161193 (or 161186 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 432441012312 its reverse (213210144234), we get a palindrome (645651156546).

The spelling of 432441012312 in words is "four hundred thirty-two billion, four hundred forty-one million, twelve thousand, three hundred twelve".