233332315040 has 144 divisors (see below), whose sum is σ = 637808139360. Its totient is φ = 80382297600.

The previous prime is 233332315033. The next prime is 233332315057. The reversal of 233332315040 is 40513233332.

It is a junction number, because it is equal to n+sod(n) for n = 233332314994 and 233332315012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50675 + ... + 685005.

It is an arithmetic number, because the mean of its divisors is an integer number (4429223190).

Almost surely, 2^233332315040 is an apocalyptic number.

233332315040 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 233332315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318904069680).

233332315040 is an abundant number, since it is smaller than the sum of its proper divisors (404475824320).

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

233332315040 is a wasteful number, since it uses less digits than its factorization.

233332315040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634387 (or 634368 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 29.

Adding to 233332315040 its reverse (40513233332), we get a palindrome (273845548372).

The spelling of 233332315040 in words is "two hundred thirty-three billion, three hundred thirty-two million, three hundred fifteen thousand, forty".