230013144240 has 320 divisors, whose sum is σ = 825272893440. Its totient is φ = 52408581120.

The previous prime is 230013144223. The next prime is 230013144241. The reversal of 230013144240 is 42441310032.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 230013144240.

It is not an unprimeable number, because it can be changed into a prime (230013144241) 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, 6352267 + ... + 6388373.

It is an arithmetic number, because the mean of its divisors is an integer number (2578977792).

Almost surely, 2^230013144240 is an apocalyptic number.

230013144240 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 230013144240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412636446720).

230013144240 is an abundant number, since it is smaller than the sum of its proper divisors (595259749200).

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

230013144240 is a wasteful number, since it uses less digits than its factorization.

230013144240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36280 (or 36274 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 230013144240 its reverse (42441310032), we get a palindrome (272454454272).

The spelling of 230013144240 in words is "two hundred thirty billion, thirteen million, one hundred forty-four thousand, two hundred forty".