434313132032 has 96 divisors (see below), whose sum is σ = 990228985200. Its totient is φ = 188660711424.

The previous prime is 434313131969. The next prime is 434313132059. The reversal of 434313132032 is 230231313434.

It is a junction number, because it is equal to n+sod(n) for n = 434313131986 and 434313132004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27182 + ... + 932397.

Almost surely, 2^434313132032 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 434313132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495114492600).

434313132032 is an abundant number, since it is smaller than the sum of its proper divisors (555915853168).

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

434313132032 is a wasteful number, since it uses less digits than its factorization.

434313132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959631 (or 959611 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 434313132032 its reverse (230231313434), we get a palindrome (664544445466).

The spelling of 434313132032 in words is "four hundred thirty-four billion, three hundred thirteen million, one hundred thirty-two thousand, thirty-two".