233413232640 has 576 divisors, whose sum is σ = 898778462400. Its totient is φ = 51502252032.

The previous prime is 233413232623. The next prime is 233413232641. The reversal of 233413232640 is 46232314332.

It is a super-2 number, since 2×233413232640² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (233413232641) 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, 43650447 + ... + 43655793.

It is an arithmetic number, because the mean of its divisors is an integer number (1560379275).

Almost surely, 2^233413232640 is an apocalyptic number.

233413232640 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 233413232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449389231200).

233413232640 is an abundant number, since it is smaller than the sum of its proper divisors (665365229760).

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

233413232640 is a wasteful number, since it uses less digits than its factorization.

233413232640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5420 (or 5393 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 233413232640 its reverse (46232314332), we get a palindrome (279645546972).

The spelling of 233413232640 in words is "two hundred thirty-three billion, four hundred thirteen million, two hundred thirty-two thousand, six hundred forty".