230332235040 has 288 divisors, whose sum is σ = 820539248256. Its totient is φ = 61013606400.

The previous prime is 230332234991. The next prime is 230332235059. The reversal of 230332235040 is 40532233032.

230332235040 is a `hidden beast` number, since 2 + 303 + 3 + 2 + 2 + 350 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 230332234995 and 230332235013.

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, 5851264 + ... + 5890496.

It is an arithmetic number, because the mean of its divisors is an integer number (2849094612).

Almost surely, 2^230332235040 is an apocalyptic number.

230332235040 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 230332235040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410269624128).

230332235040 is an abundant number, since it is smaller than the sum of its proper divisors (590207013216).

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

230332235040 is a wasteful number, since it uses less digits than its factorization.

230332235040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39414 (or 39394 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 27.

Adding to 230332235040 its reverse (40532233032), we get a palindrome (270864468072).

The spelling of 230332235040 in words is "two hundred thirty billion, three hundred thirty-two million, two hundred thirty-five thousand, forty".