330403200232020 has 192 divisors, whose sum is σ = 956973588480000. Its totient is φ = 85086800478720.

The previous prime is 330403200231947. The next prime is 330403200232031. The reversal of 330403200232020 is 20232002304033.

It is a happy number.

It is a super-3 number, since 3×330403200232020³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1714066606 + ... + 1714259354.

It is an arithmetic number, because the mean of its divisors is an integer number (4984237440000).

Almost surely, 2^{330403200232020} is an apocalyptic number.

330403200232020 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 330403200232020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478486794240000).

330403200232020 is an abundant number, since it is smaller than the sum of its proper divisors (626570388247980).

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

330403200232020 is a wasteful number, since it uses less digits than its factorization.

330403200232020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194718 (or 194716 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 330403200232020 its reverse (20232002304033), we get a palindrome (350635202536053).

The spelling of 330403200232020 in words is "three hundred thirty trillion, four hundred three billion, two hundred million, two hundred thirty-two thousand, twenty".