233323040000 has 720 divisors, whose sum is σ = 662044078080. Its totient is φ = 81607680000.

The previous prime is 233323039993. The next prime is 233323040003. The reversal of 233323040000 is 40323332.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233323040003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3286239965 + ... + 3286240035.

It is an arithmetic number, because the mean of its divisors is an integer number (919505664).

Almost surely, 2^233323040000 is an apocalyptic number.

233323040000 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 233323040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331022039040).

233323040000 is an abundant number, since it is smaller than the sum of its proper divisors (428721038080).

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

233323040000 is an equidigital number, since it uses as much as digits as its factorization.

233323040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 233323040000 its reverse (40323332), we get a palindrome (233363363332).

The spelling of 233323040000 in words is "two hundred thirty-three billion, three hundred twenty-three million, forty thousand".