220410222080256 has 1152 divisors, whose sum is σ = 751134561945600. Its totient is φ = 63186168545280.

The previous prime is 220410222080233. The next prime is 220410222080267. The reversal of 220410222080256 is 652080222014022.

220410222080256 is a `hidden beast` number, since 2 + 2 + 0 + 4 + 102 + 220 + 80 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a self number, because there is not a number n which added to its sum of digits gives 220410222080256.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 93911469675 + ... + 93911472021.

Almost surely, 2^{220410222080256} is an apocalyptic number.

220410222080256 is a gapful number since it is divisible by the number (26) 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 220410222080256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375567280972800).

220410222080256 is an abundant number, since it is smaller than the sum of its proper divisors (530724339865344).

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

220410222080256 is a wasteful number, since it uses less digits than its factorization.

220410222080256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3292 (or 3272 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 220410222080256 its reverse (652080222014022), we get a palindrome (872490444094278).

The spelling of 220410222080256 in words is "two hundred twenty trillion, four hundred ten billion, two hundred twenty-two million, eighty thousand, two hundred fifty-six".