404442421300 has 144 divisors (see below), whose sum is σ = 958105677312. Its totient is φ = 147755238400.

The previous prime is 404442421133. The next prime is 404442421349. The reversal of 404442421300 is 3124244404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4386474 + ... + 4477726.

It is an arithmetic number, because the mean of its divisors is an integer number (6653511648).

Almost surely, 2^404442421300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404442421300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479052838656).

404442421300 is an abundant number, since it is smaller than the sum of its proper divisors (553663256012).

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

404442421300 is a wasteful number, since it uses less digits than its factorization.

404442421300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91378 (or 91371 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 404442421300 its reverse (3124244404), we get a palindrome (407566665704).

The spelling of 404442421300 in words is "four hundred four billion, four hundred forty-two million, four hundred twenty-one thousand, three hundred".