40320320 has 28 divisors (see below), whose sum is σ = 96013524. Its totient is φ = 16128000.

The previous prime is 40320307. The next prime is 40320323. The reversal of 40320320 is 2302304.

It can be written as a sum of positive squares in 2 ways, for example, as 16192576 + 24127744 = 4024^2 + 4912^2 .

It is a junction number, because it is equal to n+sod(n) for n = 40320295 and 40320304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40320323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62681 + ... + 63320.

Almost surely, 2^40320320 is an apocalyptic number.

40320320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40320320 is an abundant number, since it is smaller than the sum of its proper divisors (55693204).

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

40320320 is a wasteful number, since it uses less digits than its factorization.

40320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126018 (or 126008 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 40320320 is about 6349.8283441366. The cubic root of 40320320 is about 342.9056624456.

Adding to 40320320 its reverse (2302304), we get a palindrome (42622624).

The spelling of 40320320 in words is "forty million, three hundred twenty thousand, three hundred twenty".