4442196662200 has 192 divisors, whose sum is σ = 11526057285120. Its totient is φ = 1578322560000.

The previous prime is 4442196662129. The next prime is 4442196662219. The reversal of 4442196662200 is 22666912444.

It is a super-2 number, since 2×4442196662200² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62107659 + ... + 62179141.

It is an arithmetic number, because the mean of its divisors is an integer number (60031548360).

Almost surely, 2^{4442196662200} is an apocalyptic number.

4442196662200 is a gapful number since it is divisible by the number (40) 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 4442196662200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5763028642560).

4442196662200 is an abundant number, since it is smaller than the sum of its proper divisors (7083860622920).

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

4442196662200 is a wasteful number, since it uses less digits than its factorization.

4442196662200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72158 (or 72149 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 46.

The spelling of 4442196662200 in words is "four trillion, four hundred forty-two billion, one hundred ninety-six million, six hundred sixty-two thousand, two hundred".