404004444400 has 30 divisors (see below), whose sum is σ = 970620678632. Its totient is φ = 161601777600.

The previous prime is 404004444367. The next prime is 404004444439. The reversal of 404004444400 is 4444400404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505005156 + ... + 505005955.

Almost surely, 2^404004444400 is an apocalyptic number.

404004444400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404004444400 is an abundant number, since it is smaller than the sum of its proper divisors (566616234232).

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

404004444400 is a wasteful number, since it uses less digits than its factorization.

404004444400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010011129 (or 1010011118 counting only the distinct ones).

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

Adding to 404004444400 its reverse (4444400404), we get a palindrome (408448844804).

The spelling of 404004444400 in words is "four hundred four billion, four million, four hundred forty-four thousand, four hundred".