404314221100 has 72 divisors (see below), whose sum is σ = 892815262416. Its totient is φ = 158901600000.

The previous prime is 404314221067. The next prime is 404314221121. The reversal of 404314221100 is 1122413404.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1170310 + ... + 1475890.

It is an arithmetic number, because the mean of its divisors is an integer number (12400211978).

Almost surely, 2^404314221100 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 404314221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446407631208).

404314221100 is an abundant number, since it is smaller than the sum of its proper divisors (488501041316).

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

404314221100 is a wasteful number, since it uses less digits than its factorization.

404314221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305827 (or 305820 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 404314221100 its reverse (1122413404), we get a palindrome (405436634504).

The spelling of 404314221100 in words is "four hundred four billion, three hundred fourteen million, two hundred twenty-one thousand, one hundred".