400404040 has 16 divisors (see below), whose sum is σ = 900909180. Its totient is φ = 160161600.

The previous prime is 400404019. The next prime is 400404049. The reversal of 400404040 is 40404004.

It can be written as a sum of positive squares in 2 ways, for example, as 374577316 + 25826724 = 19354^2 + 5082^2 .

400404040 is a modest number, since divided by 404040 gives 400 as remainder.

It is not an unprimeable number, because it can be changed into a prime (400404049) by changing a digit.

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, 5005011 + ... + 5005090.

Almost surely, 2^400404040 is an apocalyptic number.

400404040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400404040 is an abundant number, since it is smaller than the sum of its proper divisors (500505140).

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

400404040 is a wasteful number, since it uses less digits than its factorization.

400404040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10010112 (or 10010108 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 400404040 is about 20010.0984505324. The cubic root of 400404040 is about 737.0542989266.

Adding to 400404040 its reverse (40404004), we get a palindrome (440808044).

The spelling of 400404040 in words is "four hundred million, four hundred four thousand, forty".