330401331020 has 12 divisors (see below), whose sum is σ = 693842795184. Its totient is φ = 132160532400.

The previous prime is 330401331019. The next prime is 330401331023. The reversal of 330401331020 is 20133104033.

It is a super-4 number, since 4×330401331020⁴ (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 16520066551 = 330401331020 / (3 + 3 + 0 + 4 + 0 + 1 + 3 + 3 + 1 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 330401330983 and 330401331001.

It is not an unprimeable number, because it can be changed into a prime (330401331023) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8260033256 + ... + 8260033295.

It is an arithmetic number, because the mean of its divisors is an integer number (57820232932).

Almost surely, 2^330401331020 is an apocalyptic number.

It is an amenable number.

330401331020 is an abundant number, since it is smaller than the sum of its proper divisors (363441464164).

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

330401331020 is a wasteful number, since it uses less digits than its factorization.

330401331020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16520066560 (or 16520066558 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 330401331020 its reverse (20133104033), we get a palindrome (350534435053).

The spelling of 330401331020 in words is "three hundred thirty billion, four hundred one million, three hundred thirty-one thousand, twenty".