233040000241440 has 576 divisors, whose sum is σ = 962534080924416. Its totient is φ = 50121724133376.

The previous prime is 233040000241379. The next prime is 233040000241459. The reversal of 233040000241440 is 44142000040332.

It is a happy number.

233040000241440 is a `hidden beast` number, since 233 + 0 + 400 + 0 + 0 + 24 + 1 + 4 + 4 + 0 = 666.

It is a super-3 number, since 3×233040000241440³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 774910944 + ... + 775211616.

It is an arithmetic number, because the mean of its divisors is an integer number (1671066112716).

Almost surely, 2^{233040000241440} is an apocalyptic number.

233040000241440 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 233040000241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481267040462208).

233040000241440 is an abundant number, since it is smaller than the sum of its proper divisors (729494080682976).

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

233040000241440 is a wasteful number, since it uses less digits than its factorization.

233040000241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305241 (or 305230 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 233040000241440 its reverse (44142000040332), we get a palindrome (277182000281772).

The spelling of 233040000241440 in words is "two hundred thirty-three trillion, forty billion, two hundred forty-one thousand, four hundred forty".