432340113114 has 256 divisors, whose sum is σ = 1223235686400. Its totient is φ = 110137459968.

The previous prime is 432340113097. The next prime is 432340113131. The reversal of 432340113114 is 411311043234.

432340113114 is a `hidden beast` number, since 4 + 3 + 2 + 340 + 1 + 1 + 311 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (432340113097) and next prime (432340113131).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 25264149 + ... + 25281255.

It is an arithmetic number, because the mean of its divisors is an integer number (4778264400).

Almost surely, 2^432340113114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432340113114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611617843200).

432340113114 is an abundant number, since it is smaller than the sum of its proper divisors (790895573286).

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

432340113114 is a wasteful number, since it uses less digits than its factorization.

432340113114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17314 (or 17308 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 432340113114 its reverse (411311043234), we get a palindrome (843651156348).

The spelling of 432340113114 in words is "four hundred thirty-two billion, three hundred forty million, one hundred thirteen thousand, one hundred fourteen".