40440400040 has 32 divisors (see below), whose sum is σ = 90999261000. Its totient is φ = 16174673664.

The previous prime is 40440400001. The next prime is 40440400043. The reversal of 40440400040 is 4000404404.

It can be written as a sum of positive squares in 4 ways, for example, as 30681726244 + 9758673796 = 175162^2 + 98786^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 40440399985 and 40440400021.

It is not an unprimeable number, because it can be changed into a prime (40440400043) 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, 463406 + ... + 543714.

Almost surely, 2^40440400040 is an apocalyptic number.

40440400040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40440400040 is an abundant number, since it is smaller than the sum of its proper divisors (50558860960).

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

40440400040 is a wasteful number, since it uses less digits than its factorization.

40440400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92909 (or 92905 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 40440400040 its reverse (4000404404), we get a palindrome (44440804444).

The spelling of 40440400040 in words is "forty billion, four hundred forty million, four hundred thousand, forty".