40320104 has 48 divisors (see below), whose sum is σ = 86758560. Its totient is φ = 17520800.

The previous prime is 40320101. The next prime is 40320113. The reversal of 40320104 is 40102304.

40320104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (40320101) 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 11 ways as a sum of consecutive naturals, for example, 21359 + ... + 23169.

It is an arithmetic number, because the mean of its divisors is an integer number (1807470).

Almost surely, 2^40320104 is an apocalyptic number.

40320104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40320104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43379280).

40320104 is an abundant number, since it is smaller than the sum of its proper divisors (46438456).

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

40320104 is a wasteful number, since it uses less digits than its factorization.

40320104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 40320104 is about 6349.8113357800. The cubic root of 40320104 is about 342.9050501178.

Adding to 40320104 its reverse (40102304), we get a palindrome (80422408).

The spelling of 40320104 in words is "forty million, three hundred twenty thousand, one hundred four".