2004400401 has 8 divisors (see below), whose sum is σ = 2681656320. Its totient is φ = 1331705712.

The previous prime is 2004400397. The next prime is 2004400427. The reversal of 2004400401 is 1040044002.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2004400401 - 2² = 2004400397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2004404401) 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, 1139281 + ... + 1141038.

It is an arithmetic number, because the mean of its divisors is an integer number (335207040).

Almost surely, 2^2004400401 is an apocalyptic number.

It is an amenable number.

2004400401 is a deficient number, since it is larger than the sum of its proper divisors (677255919).

2004400401 is a wasteful number, since it uses less digits than its factorization.

2004400401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280615.

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2004400401 is about 44770.5304971920. The cubic root of 2004400401 is about 1260.8443993489.

Adding to 2004400401 its reverse (1040044002), we get a palindrome (3044444403).

The spelling of 2004400401 in words is "two billion, four million, four hundred thousand, four hundred one".