404404400420 has 24 divisors (see below), whose sum is σ = 872201924664. Its totient is φ = 157389820416.

The previous prime is 404404400381. The next prime is 404404400461. The reversal of 404404400420 is 24004404404.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 54099038464 + 350305361956 = 232592^2 + 591866^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 404404400420.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 273245477 + ... + 273246956.

It is an arithmetic number, because the mean of its divisors is an integer number (36341746861).

Almost surely, 2^404404400420 is an apocalyptic number.

It is an amenable number.

404404400420 is an abundant number, since it is smaller than the sum of its proper divisors (467797524244).

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

404404400420 is a wasteful number, since it uses less digits than its factorization.

404404400420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546492479 (or 546492477 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 404404400420 its reverse (24004404404), we get a palindrome (428408804824).

The spelling of 404404400420 in words is "four hundred four billion, four hundred four million, four hundred thousand, four hundred twenty".