432042114 has 128 divisors (see below), whose sum is σ = 1091750400. Its totient is φ = 113498112.

The previous prime is 432042109. The next prime is 432042119. The reversal of 432042114 is 411240234.

It is an interprime number because it is at equal distance from previous prime (432042109) and next prime (432042119).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (432042119) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1854142 + ... + 1854374.

It is an arithmetic number, because the mean of its divisors is an integer number (8529300).

Almost surely, 2^432042114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432042114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545875200).

432042114 is an abundant number, since it is smaller than the sum of its proper divisors (659708286).

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

432042114 is a wasteful number, since it uses less digits than its factorization.

432042114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 432042114 is about 20785.6227715217. The cubic root of 432042114 is about 755.9771940994.

Adding to 432042114 its reverse (411240234), we get a palindrome (843282348).

The spelling of 432042114 in words is "four hundred thirty-two million, forty-two thousand, one hundred fourteen".