400400444440 has 64 divisors (see below), whose sum is σ = 954317064960. Its totient is φ = 150672322560.

The previous prime is 400400444407. The next prime is 400400444441. The reversal of 400400444440 is 44444004004.

It is a junction number, because it is equal to n+sod(n) for n = 400400444399 and 400400444408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400400444441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1422009 + ... + 1680151.

It is an arithmetic number, because the mean of its divisors is an integer number (14911204140).

Almost surely, 2^400400444440 is an apocalyptic number.

400400444440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400400444440 is an abundant number, since it is smaller than the sum of its proper divisors (553916620520).

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

400400444440 is a wasteful number, since it uses less digits than its factorization.

400400444440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260452 (or 260448 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 400400444440 its reverse (44444004004), we get a palindrome (444844448444).

The spelling of 400400444440 in words is "four hundred billion, four hundred million, four hundred forty-four thousand, four hundred forty".