40320160 has 24 divisors (see below), whose sum is σ = 95256756. Its totient is φ = 16128000.

The previous prime is 40320151. The next prime is 40320167. The reversal of 40320160 is 6102304.

It can be written as a sum of positive squares in 2 ways, for example, as 39992976 + 327184 = 6324^2 + 572^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (40320167) 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, 125841 + ... + 126160.

Almost surely, 2^40320160 is an apocalyptic number.

40320160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40320160 is an abundant number, since it is smaller than the sum of its proper divisors (54936596).

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

40320160 is a wasteful number, since it uses less digits than its factorization.

40320160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252016 (or 252008 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 40320160 is about 6349.8157453583. The cubic root of 40320160 is about 342.9052088697.

Adding to 40320160 its reverse (6102304), we get a palindrome (46422464).

The spelling of 40320160 in words is "forty million, three hundred twenty thousand, one hundred sixty".