330401201020 has 192 divisors, whose sum is σ = 775729446912. Its totient is φ = 117210240000.

The previous prime is 330401200999. The next prime is 330401201033. The reversal of 330401201020 is 20102104033.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 330401200985 and 330401201003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 538990234 + ... + 538990846.

It is an arithmetic number, because the mean of its divisors is an integer number (4040257536).

Almost surely, 2^330401201020 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 330401201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387864723456).

330401201020 is an abundant number, since it is smaller than the sum of its proper divisors (445328245892).

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

330401201020 is a wasteful number, since it uses less digits than its factorization.

330401201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 330401201020 its reverse (20102104033), we get a palindrome (350503305053).

The spelling of 330401201020 in words is "three hundred thirty billion, four hundred one million, two hundred one thousand, twenty".