233433313132440 has 192 divisors, whose sum is σ = 728627315880960. Its totient is φ = 59766502199040.

The previous prime is 233433313132429. The next prime is 233433313132441. The reversal of 233433313132440 is 44231313334332.

It is a super-2 number, since 2×233433313132440² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233433313132441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58054599 + ... + 61945161.

It is an arithmetic number, because the mean of its divisors is an integer number (3794933936880).

Almost surely, 2^{233433313132440} is an apocalyptic number.

233433313132440 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 233433313132440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364313657940480).

233433313132440 is an abundant number, since it is smaller than the sum of its proper divisors (495194002748520).

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

233433313132440 is a wasteful number, since it uses less digits than its factorization.

233433313132440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3890862 (or 3890731 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 39.

Adding to 233433313132440 its reverse (44231313334332), we get a palindrome (277664626466772).

The spelling of 233433313132440 in words is "two hundred thirty-three trillion, four hundred thirty-three billion, three hundred thirteen million, one hundred thirty-two thousand, four hundred forty".