330104204324000 has 384 divisors, whose sum is σ = 887085307547712. Its totient is φ = 120216659558400.

The previous prime is 330104204323961. The next prime is 330104204324023. The reversal of 330104204324000 is 423402401033.

It can be written as a sum of positive squares in 32 ways, for example, as 2036911257616 + 328067293066384 = 1427204^2 + 18112628^2 .

It is a super-2 number, since 2×330104204324000² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 434888804 + ... + 435647196.

Almost surely, 2^{330104204324000} 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 330104204324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443542653773856).

330104204324000 is an abundant number, since it is smaller than the sum of its proper divisors (556981103223712).

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

330104204324000 is a wasteful number, since it uses less digits than its factorization.

330104204324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758645 (or 758627 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 330104204324000 its reverse (423402401033), we get a palindrome (330527606725033).

The spelling of 330104204324000 in words is "three hundred thirty trillion, one hundred four billion, two hundred four million, three hundred twenty-four thousand".