230414340432 has 40 divisors (see below), whose sum is σ = 595557124960. Its totient is φ = 76763479680.

The previous prime is 230414340413. The next prime is 230414340433. The reversal of 230414340432 is 234043414032.

It is a happy number.

It is a super-3 number, since 3×230414340432³ (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 230414340432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230414340433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1200382 + ... + 1379037.

It is an arithmetic number, because the mean of its divisors is an integer number (14888928124).

Almost surely, 2^230414340432 is an apocalyptic number.

It is an amenable number.

230414340432 is an abundant number, since it is smaller than the sum of its proper divisors (365142784528).

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

230414340432 is a wasteful number, since it uses less digits than its factorization.

230414340432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2581291 (or 2581285 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 230414340432 its reverse (234043414032), we get a palindrome (464457754464).

It can be divided in two parts, 230414 and 340432, that added together give a triangular number (570846 = T₁₀₆₈).

The spelling of 230414340432 in words is "two hundred thirty billion, four hundred fourteen million, three hundred forty thousand, four hundred thirty-two".