210144430013220 has 144 divisors (see below), whose sum is σ = 644067845541120. Its totient is φ = 55456929739008.

The previous prime is 210144430013197. The next prime is 210144430013237. The reversal of 210144430013220 is 22310034441012.

210144430013220 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 4 + 4 + 430 + 0 + 1 + 3 + 220 = 666.

It is a super-2 number, since 2×210144430013220² (a number of 29 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 9640137 + ... + 22654383.

Almost surely, 2^{210144430013220} is an apocalyptic number.

210144430013220 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 210144430013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322033922770560).

210144430013220 is an abundant number, since it is smaller than the sum of its proper divisors (433923415527900).

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

210144430013220 is a wasteful number, since it uses less digits than its factorization.

210144430013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13015194 (or 13015189 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 210144430013220 its reverse (22310034441012), we get a palindrome (232454464454232).

The spelling of 210144430013220 in words is "two hundred ten trillion, one hundred forty-four billion, four hundred thirty million, thirteen thousand, two hundred twenty".