320413322000 has 80 divisors (see below), whose sum is σ = 808444720512. Its totient is φ = 122592905600.

The previous prime is 320413321999. The next prime is 320413322011. The reversal of 320413322000 is 223314023.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3436754 + ... + 3528753.

Almost surely, 2^320413322000 is an apocalyptic number.

It is an amenable number.

320413322000 is an abundant number, since it is smaller than the sum of its proper divisors (488031398512).

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

320413322000 is a wasteful number, since it uses less digits than its factorization.

320413322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6965553 (or 6965537 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 320413322000 its reverse (223314023), we get a palindrome (320636636023).

The spelling of 320413322000 in words is "three hundred twenty billion, four hundred thirteen million, three hundred twenty-two thousand".