40320321 has 16 divisors (see below), whose sum is σ = 54927936. Its totient is φ = 26302976.

The previous prime is 40320307. The next prime is 40320323. The reversal of 40320321 is 12302304.

40320321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 40320321 - 2⁵ = 40320289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 40320321.

It is not an unprimeable number, because it can be changed into a prime (40320323) 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, 27421 + ... + 28853.

It is an arithmetic number, because the mean of its divisors is an integer number (3432996).

Almost surely, 2^40320321 is an apocalyptic number.

It is an amenable number.

40320321 is a deficient number, since it is larger than the sum of its proper divisors (14607615).

40320321 is a wasteful number, since it uses less digits than its factorization.

40320321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632.

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 40320321 is about 6349.8284228788. The cubic root of 40320321 is about 342.9056652804.

Adding to 40320321 its reverse (12302304), we get a palindrome (52622625).

The spelling of 40320321 in words is "forty million, three hundred twenty thousand, three hundred twenty-one".