404440000420 has 48 divisors (see below), whose sum is σ = 901252381680. Its totient is φ = 151926534144.

The previous prime is 404440000417. The next prime is 404440000421. The reversal of 404440000420 is 24000044404.

It can be written as a sum of positive squares in 8 ways, for example, as 14811863616 + 389628136804 = 121704^2 + 624202^2 .

It is a junction number, because it is equal to n+sod(n) for n = 404440000391 and 404440000400.

It is not an unprimeable number, because it can be changed into a prime (404440000421) 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 15 ways as a sum of consecutive naturals, for example, 1146075 + ... + 1456834.

It is an arithmetic number, because the mean of its divisors is an integer number (18776091285).

Almost surely, 2^404440000420 is an apocalyptic number.

It is an amenable number.

404440000420 is an abundant number, since it is smaller than the sum of its proper divisors (496812381260).

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

404440000420 is a wasteful number, since it uses less digits than its factorization.

404440000420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2603392 (or 2603390 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 404440000420 its reverse (24000044404), we get a palindrome (428440044824).

The spelling of 404440000420 in words is "four hundred four billion, four hundred forty million, four hundred twenty", and thus it is an aban number.