4330365388209 has 405 divisors, whose sum is σ = 8404188505713. Its totient is φ = 2215066258944.

The previous prime is 4330365388163. The next prime is 4330365388229. The reversal of 4330365388209 is 9028835630334.

It is a happy number.

The square root of 4330365388209 is 2080953.

It is a perfect power (a square), and thus also a powerful number.

4330365388209 is a `hidden beast` number, since 4 + 3 + 303 + 6 + 53 + 88 + 209 = 666.

4330365388209 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 428049605025 + 3902315783184 = 654255^2 + 1975428^2 .

It is a de Polignac number, because none of the positive numbers 2^k-4330365388209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4330365388229) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 64632319194 + ... + 64632319260.

Almost surely, 2^{4330365388209} is an apocalyptic number.

4330365388209 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

4330365388209 is the 2080953-rd square number.

4330365388209 is the 1040477-th centered octagonal number.

It is an amenable number.

4330365388209 is a deficient number, since it is larger than the sum of its proper divisors (4073823117504).

4330365388209 is an equidigital number, since it uses as much as digits as its factorization.

4330365388209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 4330365388209 in words is "four trillion, three hundred thirty billion, three hundred sixty-five million, three hundred eighty-eight thousand, two hundred nine".