330021142000 has 320 divisors, whose sum is σ = 890480148480. Its totient is φ = 117277056000.

The previous prime is 330021141979. The next prime is 330021142039. The reversal of 330021142000 is 241120033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 446577631 + ... + 446578369.

It is an arithmetic number, because the mean of its divisors is an integer number (2782750464).

Almost surely, 2^330021142000 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 330021142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445240074240).

330021142000 is an abundant number, since it is smaller than the sum of its proper divisors (560459006480).

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

330021142000 is a wasteful number, since it uses less digits than its factorization.

330021142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1193 counting only the distinct ones).

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

Adding to 330021142000 its reverse (241120033), we get a palindrome (330262262033).

The spelling of 330021142000 in words is "three hundred thirty billion, twenty-one million, one hundred forty-two thousand".