330442004323040 has 48 divisors (see below), whose sum is σ = 784632023284032. Its totient is φ = 131505853484544.

The previous prime is 330442004323033. The next prime is 330442004323103. The reversal of 330442004323040 is 40323400244033.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 330442004322988 and 330442004323006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5241751544 + ... + 5241814583.

It is an arithmetic number, because the mean of its divisors is an integer number (16346500485084).

Almost surely, 2^{330442004323040} is an apocalyptic number.

It is an amenable number.

330442004323040 is an abundant number, since it is smaller than the sum of its proper divisors (454190018960992).

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

330442004323040 is a wasteful number, since it uses less digits than its factorization.

330442004323040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10483566339 (or 10483566331 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 330442004323040 its reverse (40323400244033), we get a palindrome (370765404567073).

The spelling of 330442004323040 in words is "three hundred thirty trillion, four hundred forty-two billion, four million, three hundred twenty-three thousand, forty".