230289826314240 has 3456 divisors, whose sum is σ = 1032489942644160. Its totient is φ = 46935834624000.

The previous prime is 230289826314217. The next prime is 230289826314241. The reversal of 230289826314240 is 42413628982032.

230289826314240 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 8 + 9 + 82 + 6 + 314 + 240 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230289826314241) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 988368353164 + ... + 988368353396.

Almost surely, 2^{230289826314240} is an apocalyptic number.

230289826314240 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 230289826314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516244971322080).

230289826314240 is an abundant number, since it is smaller than the sum of its proper divisors (802200116329920).

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

230289826314240 is a wasteful number, since it uses less digits than its factorization.

230289826314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 230289826314240 in words is "two hundred thirty trillion, two hundred eighty-nine billion, eight hundred twenty-six million, three hundred fourteen thousand, two hundred forty".