404442400420 has 24 divisors (see below), whose sum is σ = 849514232448. Its totient is φ = 161741685600.

The previous prime is 404442400363. The next prime is 404442400421. The reversal of 404442400420 is 24004244404.

It is a super-3 number, since 3×404442400420³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (404442400421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2110546 + ... + 2294185.

It is an arithmetic number, because the mean of its divisors is an integer number (35396426352).

Almost surely, 2^404442400420 is an apocalyptic number.

It is an amenable number.

404442400420 is an abundant number, since it is smaller than the sum of its proper divisors (445071832028).

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

404442400420 is a wasteful number, since it uses less digits than its factorization.

404442400420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4409331 (or 4409329 counting only the distinct ones).

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

Adding to 404442400420 its reverse (24004244404), we get a palindrome (428446644824).

The spelling of 404442400420 in words is "four hundred four billion, four hundred forty-two million, four hundred thousand, four hundred twenty".