440400040 has 32 divisors (see below), whose sum is σ = 993431880. Its totient is φ = 175709952.

The previous prime is 440400029. The next prime is 440400047. The reversal of 440400040 is 40004044.

It can be written as a sum of positive squares in 4 ways, for example, as 326380356 + 114019684 = 18066^2 + 10678^2 .

It is a junction number, because it is equal to n+sod(n) for n = 440399987 and 440400023.

It is not an unprimeable number, because it can be changed into a prime (440400047) 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 7 ways as a sum of consecutive naturals, for example, 2014 + ... + 29746.

Almost surely, 2^440400040 is an apocalyptic number.

440400040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440400040 is an abundant number, since it is smaller than the sum of its proper divisors (553031840).

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

440400040 is a wasteful number, since it uses less digits than its factorization.

440400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28141 (or 28137 counting only the distinct ones).

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

The square root of 440400040 is about 20985.7103763490. The cubic root of 440400040 is about 760.8209273461.

Adding to 440400040 its reverse (40004044), we get a palindrome (480404084).

The spelling of 440400040 in words is "four hundred forty million, four hundred thousand, forty".