221417600404 has 216 divisors, whose sum is σ = 554843526720. Its totient is φ = 75435909120.

The previous prime is 221417600399. The next prime is 221417600441. The reversal of 221417600404 is 404006714122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10868692 + ... + 10889044.

Almost surely, 2^221417600404 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 221417600404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277421763360).

221417600404 is an abundant number, since it is smaller than the sum of its proper divisors (333425926316).

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

221417600404 is a wasteful number, since it uses less digits than its factorization.

221417600404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20431 (or 20405 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The spelling of 221417600404 in words is "two hundred twenty-one billion, four hundred seventeen million, six hundred thousand, four hundred four".