220441240441440 has 192 divisors, whose sum is σ = 771930723453120. Its totient is φ = 58754892165120.

The previous prime is 220441240441417. The next prime is 220441240441451. The reversal of 220441240441440 is 44144042144022.

220441240441440 is a `hidden beast` number, since 2 + 20 + 4 + 412 + 40 + 44 + 144 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 220441240441395 and 220441240441404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4149141 + ... + 21403220.

It is an arithmetic number, because the mean of its divisors is an integer number (4020472517985).

Almost surely, 2^{220441240441440} is an apocalyptic number.

220441240441440 is a gapful number since it is divisible by the number (20) 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 220441240441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385965361726560).

220441240441440 is an abundant number, since it is smaller than the sum of its proper divisors (551489483011680).

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

220441240441440 is a wasteful number, since it uses less digits than its factorization.

220441240441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25554382 (or 25554368 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 220441240441440 its reverse (44144042144022), we get a palindrome (264585282585462).

The spelling of 220441240441440 in words is "two hundred twenty trillion, four hundred forty-one billion, two hundred forty million, four hundred forty-one thousand, four hundred forty".