404002400420 has 24 divisors (see below), whose sum is σ = 848417412024. Its totient is φ = 161598603776.

The previous prime is 404002400281. The next prime is 404002400491. The reversal of 404002400420 is 24004200404.

It can be written as a sum of positive squares in 4 ways, for example, as 151457958976 + 252544441444 = 389176^2 + 502538^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 404002400392 and 404002400401.

It is an unprimeable number.

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, 2080604 + ... + 2266476.

It is an arithmetic number, because the mean of its divisors is an integer number (35350725501).

Almost surely, 2^404002400420 is an apocalyptic number.

It is an amenable number.

404002400420 is an abundant number, since it is smaller than the sum of its proper divisors (444415011604).

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

404002400420 is a wasteful number, since it uses less digits than its factorization.

404002400420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294559 (or 294557 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 404002400420 its reverse (24004200404), we get a palindrome (428006600824).

The spelling of 404002400420 in words is "four hundred four billion, two million, four hundred thousand, four hundred twenty".