400410000400 has 60 divisors (see below), whose sum is σ = 962046432900. Its totient is φ = 160153776640.

The previous prime is 400410000307. The next prime is 400410000433. The reversal of 400410000400 is 4000014004.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5342440464 + 395067559936 = 73092^2 + 628544^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10985406 + ... + 11021794.

It is an arithmetic number, because the mean of its divisors is an integer number (16034107215).

Almost surely, 2^400410000400 is an apocalyptic number.

400410000400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400410000400 is an abundant number, since it is smaller than the sum of its proper divisors (561636432500).

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

400410000400 is a wasteful number, since it uses less digits than its factorization.

400410000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63916 (or 63905 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 400410000400 its reverse (4000014004), we get a palindrome (404410014404).

The spelling of 400410000400 in words is "four hundred billion, four hundred ten million, four hundred", and thus it is an aban number.