220170410944000 has 640 divisors, whose sum is σ = 625367511774720. Its totient is φ = 76578009088000.

The previous prime is 220170410943997. The next prime is 220170410944091. The reversal of 220170410944000 is 449014071022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×220170410944000² (a number of 29 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 2184461607 + ... + 2184562393.

It is an arithmetic number, because the mean of its divisors is an integer number (977136737148).

Almost surely, 2^{220170410944000} is an apocalyptic number.

220170410944000 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 220170410944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312683755887360).

220170410944000 is an abundant number, since it is smaller than the sum of its proper divisors (405197100830720).

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

220170410944000 is a wasteful number, since it uses less digits than its factorization.

220170410944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100967 (or 100941 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 220170410944000 in words is "two hundred twenty trillion, one hundred seventy billion, four hundred ten million, nine hundred forty-four thousand".