233242133440 has 112 divisors (see below), whose sum is σ = 588847996800. Its totient is φ = 87750300672.

The previous prime is 233242133419. The next prime is 233242133447. The reversal of 233242133440 is 44331242332.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233242133447) 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, 707127 + ... + 983113.

It is an arithmetic number, because the mean of its divisors is an integer number (5257571400).

Almost surely, 2^233242133440 is an apocalyptic number.

233242133440 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 233242133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294423998400).

233242133440 is an abundant number, since it is smaller than the sum of its proper divisors (355605863360).

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

233242133440 is a wasteful number, since it uses less digits than its factorization.

233242133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276162 (or 276152 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 233242133440 its reverse (44331242332), we get a palindrome (277573375772).

The spelling of 233242133440 in words is "two hundred thirty-three billion, two hundred forty-two million, one hundred thirty-three thousand, four hundred forty".