3243414442144 has 48 divisors (see below), whose sum is σ = 6761381027688. Its totient is φ = 1526246572032.

The previous prime is 3243414442141. The next prime is 3243414442157. The reversal of 3243414442144 is 4412444143423.

It can be written as a sum of positive squares in 4 ways, for example, as 3203169267600 + 40245174544 = 1789740^2 + 200612^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3243414442097 and 3243414442106.

It is not an unprimeable number, because it can be changed into a prime (3243414442141) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 13828054 + ... + 14060650.

Almost surely, 2^{3243414442144} is an apocalyptic number.

3243414442144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3243414442144 is an abundant number, since it is smaller than the sum of its proper divisors (3517966585544).

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

3243414442144 is a wasteful number, since it uses less digits than its factorization.

3243414442144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258257 (or 258249 counting only the distinct ones).

The product of its digits is 589824, while the sum is 40.

Adding to 3243414442144 its reverse (4412444143423), we get a palindrome (7655858585567).

The spelling of 3243414442144 in words is "three trillion, two hundred forty-three billion, four hundred fourteen million, four hundred forty-two thousand, one hundred forty-four".