220042044240480 has 1536 divisors, whose sum is σ = 1005637209292800. Its totient is φ = 43573270118400.

The previous prime is 220042044240433. The next prime is 220042044240583. The reversal of 220042044240480 is 84042440240022.

220042044240480 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 4 + 204 + 42 + 404 + 8 + 0 = 666.

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

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 2073292056 + ... + 2073398184.

It is an arithmetic number, because the mean of its divisors is an integer number (654711724800).

Almost surely, 2^{220042044240480} is an apocalyptic number.

220042044240480 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 220042044240480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502818604646400).

220042044240480 is an abundant number, since it is smaller than the sum of its proper divisors (785595165052320).

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

220042044240480 is a wasteful number, since it uses less digits than its factorization.

220042044240480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106465 (or 106451 counting only the distinct ones).

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

The spelling of 220042044240480 in words is "two hundred twenty trillion, forty-two billion, forty-four million, two hundred forty thousand, four hundred eighty".