210442244102420 has 288 divisors, whose sum is σ = 503758028390400. Its totient is φ = 73701936000000.

The previous prime is 210442244102411. The next prime is 210442244102513. The reversal of 210442244102420 is 24201442244012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60663660446 + ... + 60663663914.

It is an arithmetic number, because the mean of its divisors is an integer number (1749159820800).

Almost surely, 2^{210442244102420} is an apocalyptic number.

210442244102420 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 210442244102420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251879014195200).

210442244102420 is an abundant number, since it is smaller than the sum of its proper divisors (293315784287980).

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

210442244102420 is a wasteful number, since it uses less digits than its factorization.

210442244102420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5431 (or 5418 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 210442244102420 its reverse (24201442244012), we get a palindrome (234643686346432).

The spelling of 210442244102420 in words is "two hundred ten trillion, four hundred forty-two billion, two hundred forty-four million, one hundred two thousand, four hundred twenty".