400404324401 has 32 divisors (see below), whose sum is σ = 445096995840. Its totient is φ = 358480797696.

The previous prime is 400404324379. The next prime is 400404324403. The reversal of 400404324401 is 104423404004.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 400404324401 - 2¹⁸ = 400404062257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (400404324403) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10645310 + ... + 10682856.

It is an arithmetic number, because the mean of its divisors is an integer number (13909281120).

Almost surely, 2^400404324401 is an apocalyptic number.

It is an amenable number.

400404324401 is a deficient number, since it is larger than the sum of its proper divisors (44692671439).

400404324401 is a wasteful number, since it uses less digits than its factorization.

400404324401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37913.

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 400404324401 its reverse (104423404004), we get a palindrome (504827728405).

The spelling of 400404324401 in words is "four hundred billion, four hundred four million, three hundred twenty-four thousand, four hundred one".