220444240104 has 144 divisors (see below), whose sum is σ = 663014685060. Its totient is φ = 66112358400.

The previous prime is 220444240067. The next prime is 220444240153. The reversal of 220444240104 is 401042444022.

220444240104 is a `hidden beast` number, since 2 + 204 + 442 + 4 + 0 + 10 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 198293871204 + 22150368900 = 445302^2 + 148830^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 714634 + ... + 975494.

Almost surely, 2^220444240104 is an apocalyptic number.

220444240104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220444240104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331507342530).

220444240104 is an abundant number, since it is smaller than the sum of its proper divisors (442570444956).

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

220444240104 is a wasteful number, since it uses less digits than its factorization.

220444240104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260992 (or 260974 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 220444240104 its reverse (401042444022), we get a palindrome (621486684126).

The spelling of 220444240104 in words is "two hundred twenty billion, four hundred forty-four million, two hundred forty thousand, one hundred four".