233040144320 has 112 divisors (see below), whose sum is σ = 569891375328. Its totient is φ = 90718064640.

The previous prime is 233040144299. The next prime is 233040144329. The reversal of 233040144320 is 23441040332.

It is a self number, because there is not a number n which added to its sum of digits gives 233040144320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233040144329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3780950 + ... + 3842090.

Almost surely, 2^233040144320 is an apocalyptic number.

233040144320 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 233040144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284945687664).

233040144320 is an abundant number, since it is smaller than the sum of its proper divisors (336851231008).

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

233040144320 is a wasteful number, since it uses less digits than its factorization.

233040144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61478 (or 61468 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 233040144320 its reverse (23441040332), we get a palindrome (256481184652).

The spelling of 233040144320 in words is "two hundred thirty-three billion, forty million, one hundred forty-four thousand, three hundred twenty".