330197421093120 has 5184 divisors, whose sum is σ = 1539320296550400. Its totient is φ = 66177049559040.

The previous prime is 330197421093073. The next prime is 330197421093151. The reversal of 330197421093120 is 21390124791033.

330197421093120 is a `hidden beast` number, since 3 + 3 + 0 + 19 + 7 + 421 + 0 + 93 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a super-2 number, since 2×330197421093120² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 848836557886 + ... + 848836558274.

It is an arithmetic number, because the mean of its divisors is an integer number (296936785600).

Almost surely, 2^{330197421093120} is an apocalyptic number.

330197421093120 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 330197421093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769660148275200).

330197421093120 is an abundant number, since it is smaller than the sum of its proper divisors (1209122875457280).

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

330197421093120 is a wasteful number, since it uses less digits than its factorization.

330197421093120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 330197421093120 in words is "three hundred thirty trillion, one hundred ninety-seven billion, four hundred twenty-one million, ninety-three thousand, one hundred twenty".