210440213120 has 64 divisors (see below), whose sum is σ = 503367582600. Its totient is φ = 84128575488.

The previous prime is 210440213069. The next prime is 210440213131. The reversal of 210440213120 is 21312044012.

210440213120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 201974741056 + 8465472064 = 449416^2 + 92008^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 210440213092 and 210440213101.

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 7 ways as a sum of consecutive naturals, for example, 1053062 + ... + 1236858.

Almost surely, 2^210440213120 is an apocalyptic number.

210440213120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210440213120 is an abundant number, since it is smaller than the sum of its proper divisors (292927369480).

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

210440213120 is a wasteful number, since it uses less digits than its factorization.

210440213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185605 (or 185593 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 210440213120 its reverse (21312044012), we get a palindrome (231752257132).

The spelling of 210440213120 in words is "two hundred ten billion, four hundred forty million, two hundred thirteen thousand, one hundred twenty".