330482304122880 has 2048 divisors, whose sum is σ = 1385025288192000. Its totient is φ = 65298669502464.

The previous prime is 330482304122851. The next prime is 330482304122921. The reversal of 330482304122880 is 88221403284033.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a super-2 number, since 2×330482304122880² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 169565060146 + ... + 169565062094.

It is an arithmetic number, because the mean of its divisors is an integer number (676281879000).

Almost surely, 2^{330482304122880} is an apocalyptic number.

330482304122880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330482304122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692512644096000).

330482304122880 is an abundant number, since it is smaller than the sum of its proper divisors (1054542984069120).

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

330482304122880 is a wasteful number, since it uses less digits than its factorization.

330482304122880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The spelling of 330482304122880 in words is "three hundred thirty trillion, four hundred eighty-two billion, three hundred four million, one hundred twenty-two thousand, eight hundred eighty".