3233400111240 has 256 divisors, whose sum is σ = 10809243244800. Its totient is φ = 768279859200.

The previous prime is 3233400111239. The next prime is 3233400111311. The reversal of 3233400111240 is 421110043323.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3233400111240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 290480475 + ... + 290491605.

It is an arithmetic number, because the mean of its divisors is an integer number (42223606425).

Almost surely, 2^{3233400111240} is an apocalyptic number.

3233400111240 is a gapful number since it is divisible by the number (30) 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 3233400111240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5404621622400).

3233400111240 is an abundant number, since it is smaller than the sum of its proper divisors (7575843133560).

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

3233400111240 is a wasteful number, since it uses less digits than its factorization.

3233400111240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17608 (or 17604 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 3233400111240 its reverse (421110043323), we get a palindrome (3654510154563).

The spelling of 3233400111240 in words is "three trillion, two hundred thirty-three billion, four hundred million, one hundred eleven thousand, two hundred forty".