320400040 has 64 divisors (see below), whose sum is σ = 766396800. Its totient is φ = 120206592.

The previous prime is 320400019. The next prime is 320400043. The reversal of 320400040 is 40004023.

It is not an unprimeable number, because it can be changed into a prime (320400043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76234 + ... + 80326.

It is an arithmetic number, because the mean of its divisors is an integer number (11974950).

Almost surely, 2^320400040 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 320400040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383198400).

320400040 is an abundant number, since it is smaller than the sum of its proper divisors (445996760).

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

320400040 is a wasteful number, since it uses less digits than its factorization.

320400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4226 (or 4222 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 320400040 is about 17899.7217855474. The cubic root of 320400040 is about 684.2752844717.

Adding to 320400040 its reverse (40004023), we get a palindrome (360404063).

The spelling of 320400040 in words is "three hundred twenty million, four hundred thousand, forty".