2433440240000 has 320 divisors, whose sum is σ = 7552722355200. Its totient is φ = 758472960000.

The previous prime is 2433440239961. The next prime is 2433440240089. The reversal of 2433440240000 is 420443342.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 5962481 + ... + 6357519.

It is an arithmetic number, because the mean of its divisors is an integer number (23602257360).

Almost surely, 2^{2433440240000} is an apocalyptic number.

2433440240000 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 2433440240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3776361177600).

2433440240000 is an abundant number, since it is smaller than the sum of its proper divisors (5119282115200).

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

2433440240000 is an equidigital number, since it uses as much as digits as its factorization.

2433440240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395091 (or 395064 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 2433440240000 its reverse (420443342), we get a palindrome (2433860683342).

The spelling of 2433440240000 in words is "two trillion, four hundred thirty-three billion, four hundred forty million, two hundred forty thousand".