330442300440120 has 128 divisors (see below), whose sum is σ = 1081573184160000. Its totient is φ = 80097916538880.

The previous prime is 330442300440103. The next prime is 330442300440199. The reversal of 330442300440120 is 21044003244033.

It is a happy number.

It is a super-2 number, since 2×330442300440120² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3175270 + ... + 25903029.

It is an arithmetic number, because the mean of its divisors is an integer number (8449790501250).

Almost surely, 2^{330442300440120} is an apocalyptic number.

330442300440120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330442300440120 is an abundant number, since it is smaller than the sum of its proper divisors (751130883719880).

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

330442300440120 is a wasteful number, since it uses less digits than its factorization.

330442300440120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29086933 (or 29086929 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 330442300440120 its reverse (21044003244033), we get a palindrome (351486303684153).

The spelling of 330442300440120 in words is "three hundred thirty trillion, four hundred forty-two billion, three hundred million, four hundred forty thousand, one hundred twenty".