213210420144 has 80 divisors (see below), whose sum is σ = 558918226944. Its totient is φ = 70023116800.

The previous prime is 213210420127. The next prime is 213210420149. The reversal of 213210420144 is 441024012312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (213210420149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5375104 + ... + 5414624.

Almost surely, 2^213210420144 is an apocalyptic number.

213210420144 is a gapful number since it is divisible by the number (24) 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 213210420144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279459113472).

213210420144 is an abundant number, since it is smaller than the sum of its proper divisors (345707806800).

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

213210420144 is a wasteful number, since it uses less digits than its factorization.

213210420144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41186 (or 41180 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 213210420144 its reverse (441024012312), we get a palindrome (654234432456).

The spelling of 213210420144 in words is "two hundred thirteen billion, two hundred ten million, four hundred twenty thousand, one hundred forty-four".