230440414340 has 96 divisors (see below), whose sum is σ = 514239667200. Its totient is φ = 86497044480.

The previous prime is 230440414339. The next prime is 230440414387. The reversal of 230440414340 is 43414044032.

It is a happy number.

It is a super-2 number, since 2×230440414340² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24932120 + ... + 24941360.

It is an arithmetic number, because the mean of its divisors is an integer number (5356663200).

Almost surely, 2^230440414340 is an apocalyptic number.

230440414340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230440414340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257119833600).

230440414340 is an abundant number, since it is smaller than the sum of its proper divisors (283799252860).

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

230440414340 is a wasteful number, since it uses less digits than its factorization.

230440414340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9885 (or 9883 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 230440414340 its reverse (43414044032), we get a palindrome (273854458372).

The spelling of 230440414340 in words is "two hundred thirty billion, four hundred forty million, four hundred fourteen thousand, three hundred forty".