414422221100 has 72 divisors (see below), whose sum is σ = 910984401600. Its totient is φ = 163615795200.

The previous prime is 414422221099. The next prime is 414422221133. The reversal of 414422221100 is 1122224414.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30179036 + ... + 30192764.

Almost surely, 2^414422221100 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 414422221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455492200800).

414422221100 is an abundant number, since it is smaller than the sum of its proper divisors (496562180500).

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

414422221100 is a wasteful number, since it uses less digits than its factorization.

414422221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17643 (or 17636 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 414422221100 its reverse (1122224414), we get a palindrome (415544445514).

The spelling of 414422221100 in words is "four hundred fourteen billion, four hundred twenty-two million, two hundred twenty-one thousand, one hundred".