404044442400 has 72 divisors (see below), whose sum is σ = 1315164667824. Its totient is φ = 107745184000.

The previous prime is 404044442371. The next prime is 404044442401. The reversal of 404044442400 is 4244440404.

It is a super-2 number, since 2×404044442400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (404044442401) 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 11 ways as a sum of consecutive naturals, for example, 84173526 + ... + 84178325.

It is an arithmetic number, because the mean of its divisors is an integer number (18266175942).

Almost surely, 2^404044442400 is an apocalyptic number.

404044442400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404044442400 is an abundant number, since it is smaller than the sum of its proper divisors (911120225424).

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

404044442400 is a wasteful number, since it uses less digits than its factorization.

404044442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168351874 (or 168351861 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 404044442400 its reverse (4244440404), we get a palindrome (408288882804).

The spelling of 404044442400 in words is "four hundred four billion, forty-four million, four hundred forty-two thousand, four hundred".