330323201332020 has 288 divisors, whose sum is σ = 1091857614775200. Its totient is φ = 80346802618368.

The previous prime is 330323201332013. The next prime is 330323201332081. The reversal of 330323201332020 is 20233102323033.

330323201332020 is a `hidden beast` number, since 3 + 3 + 0 + 3 + 2 + 320 + 1 + 332 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 212069843013924 + 118253358318096 = 14562618^2 + 10874436^2 .

It is a super-2 number, since 2×330323201332020² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 335431716 + ... + 336415044.

It is an arithmetic number, because the mean of its divisors is an integer number (3791172273525).

Almost surely, 2^{330323201332020} is an apocalyptic number.

330323201332020 is a gapful number since it is divisible by the number (30) 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 330323201332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545928807387600).

330323201332020 is an abundant number, since it is smaller than the sum of its proper divisors (761534413443180).

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

330323201332020 is a wasteful number, since it uses less digits than its factorization.

330323201332020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985059 (or 985054 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 330323201332020 its reverse (20233102323033), we get a palindrome (350556303655053).

The spelling of 330323201332020 in words is "three hundred thirty trillion, three hundred twenty-three billion, two hundred one million, three hundred thirty-two thousand, twenty".