320320312042320 has 60 divisors (see below), whose sum is σ = 1075742381277876. Its totient is φ = 85418749877760.

The previous prime is 320320312042277. The next prime is 320320312042397. The reversal of 320320312042320 is 23240213023023.

320320312042320 is a `hidden beast` number, since 3 + 2 + 0 + 3 + 20 + 312 + 0 + 4 + 2 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 147475861633296 + 172844450409024 = 12143964^2 + 13147032^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×320320312042320³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222444660421 + ... + 222444661860.

Almost surely, 2^{320320312042320} is an apocalyptic number.

320320312042320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320320312042320 is an abundant number, since it is smaller than the sum of its proper divisors (755422069235556).

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

320320312042320 is a wasteful number, since it uses less digits than its factorization.

320320312042320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444889322300 (or 444889322291 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 320320312042320 its reverse (23240213023023), we get a palindrome (343560525065343).

The spelling of 320320312042320 in words is "three hundred twenty trillion, three hundred twenty billion, three hundred twelve million, forty-two thousand, three hundred twenty".