230414240414340 has 144 divisors (see below), whose sum is σ = 700135667195328. Its totient is φ = 61337244840192.

The previous prime is 230414240414291. The next prime is 230414240414357. The reversal of 230414240414340 is 43414042414032.

230414240414340 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 142 + 40 + 41 + 434 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 230414240414295 and 230414240414304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 585975439 + ... + 586368521.

It is an arithmetic number, because the mean of its divisors is an integer number (4862053244412).

Almost surely, 2^{230414240414340} is an apocalyptic number.

230414240414340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230414240414340 is an abundant number, since it is smaller than the sum of its proper divisors (469721426780988).

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

230414240414340 is a wasteful number, since it uses less digits than its factorization.

230414240414340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398738 (or 398733 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 230414240414340 its reverse (43414042414032), we get a palindrome (273828282828372).

The spelling of 230414240414340 in words is "two hundred thirty trillion, four hundred fourteen billion, two hundred forty million, four hundred fourteen thousand, three hundred forty".