330144321413140 has 48 divisors (see below), whose sum is σ = 747946267503120. Its totient is φ = 121685207178240.

The previous prime is 330144321413129. The next prime is 330144321413147. The reversal of 330144321413140 is 41314123441033.

It can be written as a sum of positive squares in 8 ways, for example, as 22970605930756 + 307173715482384 = 4792766^2 + 17526372^2 .

It is a super-2 number, since 2×330144321413140² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330144321413096 and 330144321413105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330144321413147) 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 15 ways as a sum of consecutive naturals, for example, 1115656851 + ... + 1115952730.

It is an arithmetic number, because the mean of its divisors is an integer number (15582213906315).

Almost surely, 2^{330144321413140} is an apocalyptic number.

It is an amenable number.

330144321413140 is an abundant number, since it is smaller than the sum of its proper divisors (417801946089980).

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

330144321413140 is a wasteful number, since it uses less digits than its factorization.

330144321413140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2231610172 (or 2231610170 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 330144321413140 its reverse (41314123441033), we get a palindrome (371458444854173).

The spelling of 330144321413140 in words is "three hundred thirty trillion, one hundred forty-four billion, three hundred twenty-one million, four hundred thirteen thousand, one hundred forty".