8400408040 has 16 divisors (see below), whose sum is σ = 18900918180. Its totient is φ = 3360163200.

The previous prime is 8400408031. The next prime is 8400408053. The reversal of 8400408040 is 408040048.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7780298436 + 620109604 = 88206^2 + 24902^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 105005061 + ... + 105005140.

Almost surely, 2^8400408040 is an apocalyptic number.

It is an amenable number.

8400408040 is an abundant number, since it is smaller than the sum of its proper divisors (10500510140).

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

8400408040 is a wasteful number, since it uses less digits than its factorization.

8400408040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210010212 (or 210010208 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 8400408040 is about 91653.7399127826. The cubic root of 8400408040 is about 2032.8256282054.

Adding to 8400408040 its reverse (408040048), we get a palindrome (8808448088).

The spelling of 8400408040 in words is "eight billion, four hundred million, four hundred eight thousand, forty".