432413211434112 has 96 divisors (see below), whose sum is σ = 1244318258661660. Its totient is φ = 144137250662400.

The previous prime is 432413211434107. The next prime is 432413211434143. The reversal of 432413211434112 is 211434112314234.

432413211434112 is a `hidden beast` number, since 4 + 3 + 2 + 4 + 1 + 3 + 211 + 434 + 1 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 423219362711616 + 9193848722496 = 20572296^2 + 3032136^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 543970062 + ... + 544764402.

Almost surely, 2^{432413211434112} is an apocalyptic number.

It is an amenable number.

432413211434112 is an abundant number, since it is smaller than the sum of its proper divisors (811905047227548).

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

432413211434112 is a wasteful number, since it uses less digits than its factorization.

432413211434112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266902 (or 1266887 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Adding to 432413211434112 its reverse (211434112314234), we get a palindrome (643847323748346).

The spelling of 432413211434112 in words is "four hundred thirty-two trillion, four hundred thirteen billion, two hundred eleven million, four hundred thirty-four thousand, one hundred twelve".