320006287040 has 224 divisors, whose sum is σ = 877626489600. Its totient is φ = 109915729920.

The previous prime is 320006286953. The next prime is 320006287049. The reversal of 320006287040 is 40782600023.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 320006286988 and 320006287006.

It is not an unprimeable number, because it can be changed into a prime (320006287049) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 23200466 + ... + 23214254.

It is an arithmetic number, because the mean of its divisors is an integer number (3917975400).

Almost surely, 2^320006287040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320006287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438813244800).

320006287040 is an abundant number, since it is smaller than the sum of its proper divisors (557620202560).

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

320006287040 is a wasteful number, since it uses less digits than its factorization.

320006287040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14183 (or 14173 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

Adding to 320006287040 its reverse (40782600023), we get a palindrome (360788887063).

The spelling of 320006287040 in words is "three hundred twenty billion, six million, two hundred eighty-seven thousand, forty".