21210034144 has 96 divisors (see below), whose sum is σ = 46131845760. Its totient is φ = 9537357312.

The previous prime is 21210034127. The next prime is 21210034151. The reversal of 21210034144 is 44143001212.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 8352427 + ... + 8354965.

It is an arithmetic number, because the mean of its divisors is an integer number (480540060).

Almost surely, 2^21210034144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21210034144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23065922880).

21210034144 is an abundant number, since it is smaller than the sum of its proper divisors (24921811616).

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

21210034144 is a wasteful number, since it uses less digits than its factorization.

21210034144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072 (or 3064 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 21210034144 its reverse (44143001212), we get a palindrome (65353035356).

The spelling of 21210034144 in words is "twenty-one billion, two hundred ten million, thirty-four thousand, one hundred forty-four".