320412322011600 has 1440 divisors, whose sum is σ = 1406079770135040. Its totient is φ = 65749396930560.

The previous prime is 320412322011577. The next prime is 320412322011643. The reversal of 320412322011600 is 6110223214023.

320412322011600 is a `hidden beast` number, since 3 + 2 + 0 + 4 + 1 + 2 + 32 + 20 + 1 + 1 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 44957527237 + ... + 44957534363.

It is an arithmetic number, because the mean of its divisors is an integer number (976444284816).

Almost surely, 2^{320412322011600} is an apocalyptic number.

320412322011600 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 320412322011600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703039885067520).

320412322011600 is an abundant number, since it is smaller than the sum of its proper divisors (1085667448123440).

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

320412322011600 is a wasteful number, since it uses less digits than its factorization.

320412322011600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10917 (or 10903 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 320412322011600 its reverse (6110223214023), we get a palindrome (326522545225623).

The spelling of 320412322011600 in words is "three hundred twenty trillion, four hundred twelve billion, three hundred twenty-two million, eleven thousand, six hundred".