400204433001344 has 32 divisors (see below), whose sum is σ = 797448613148640. Its totient is φ = 200060467348480.

The previous prime is 400204433001323. The next prime is 400204433001371. The reversal of 400204433001344 is 443100334402004.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 400204433001344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 325549352 + ... + 326776359.

It is an arithmetic number, because the mean of its divisors is an integer number (24920269160895).

Almost surely, 2^{400204433001344} is an apocalyptic number.

It is an amenable number.

400204433001344 is a deficient number, since it is larger than the sum of its proper divisors (397244180147296).

400204433001344 is an equidigital number, since it uses as much as digits as its factorization.

400204433001344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652330518 (or 652330506 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 400204433001344 its reverse (443100334402004), we get a palindrome (843304767403348).

The spelling of 400204433001344 in words is "four hundred trillion, two hundred four billion, four hundred thirty-three million, one thousand, three hundred forty-four".