4202241002200 has 96 divisors (see below), whose sum is σ = 9821737395360. Its totient is φ = 1672034918400.

The previous prime is 4202241002153. The next prime is 4202241002243. The reversal of 4202241002200 is 22001422024.

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 23 ways as a sum of consecutive naturals, for example, 340449229 + ... + 340461571.

It is an arithmetic number, because the mean of its divisors is an integer number (102309764535).

Almost surely, 2^{4202241002200} is an apocalyptic number.

4202241002200 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 4202241002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910868697680).

4202241002200 is an abundant number, since it is smaller than the sum of its proper divisors (5619496393160).

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

4202241002200 is a wasteful number, since it uses less digits than its factorization.

4202241002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21197 (or 21188 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 4202241002200 its reverse (22001422024), we get a palindrome (4224242424224).

The spelling of 4202241002200 in words is "four trillion, two hundred two billion, two hundred forty-one million, two thousand, two hundred".