330241200401440 has 192 divisors, whose sum is σ = 792893035872000. Its totient is φ = 129951892832256.

The previous prime is 330241200401347. The next prime is 330241200401443. The reversal of 330241200401440 is 44104002142033.

It is a junction number, because it is equal to n+sod(n) for n = 330241200401399 and 330241200401408.

It is not an unprimeable number, because it can be changed into a prime (330241200401443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28329856092 + ... + 28329867748.

It is an arithmetic number, because the mean of its divisors is an integer number (4129651228500).

Almost surely, 2^{330241200401440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330241200401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396446517936000).

330241200401440 is an abundant number, since it is smaller than the sum of its proper divisors (462651835470560).

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

330241200401440 is a wasteful number, since it uses less digits than its factorization.

330241200401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15027 (or 15019 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 330241200401440 its reverse (44104002142033), we get a palindrome (374345202543473).

The spelling of 330241200401440 in words is "three hundred thirty trillion, two hundred forty-one billion, two hundred million, four hundred one thousand, four hundred forty".