330022004004 has 144 divisors (see below), whose sum is σ = 1049274495360. Its totient is φ = 84961336320.

The previous prime is 330022003967. The next prime is 330022004027. The reversal of 330022004004 is 400400220033.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213559 + ... + 840030.

It is an arithmetic number, because the mean of its divisors is an integer number (7286628440).

Almost surely, 2^330022004004 is an apocalyptic number.

It is an amenable number.

330022004004 is an abundant number, since it is smaller than the sum of its proper divisors (719252491356).

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

330022004004 is a wasteful number, since it uses less digits than its factorization.

330022004004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053730 (or 1053725 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 330022004004 its reverse (400400220033), we get a palindrome (730422224037).

The spelling of 330022004004 in words is "three hundred thirty billion, twenty-two million, four thousand, four".