210420442432 has 84 divisors (see below), whose sum is σ = 442337502420. Its totient is φ = 99299377152.

The previous prime is 210420442409. The next prime is 210420442499. The reversal of 210420442432 is 234244024012.

It can be written as a sum of positive squares in 2 ways, for example, as 131090340096 + 79330102336 = 362064^2 + 281656^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 210420442432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6198048 + ... + 6231904.

Almost surely, 2^210420442432 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 210420442432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221168751210).

210420442432 is an abundant number, since it is smaller than the sum of its proper divisors (231917059988).

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

210420442432 is a wasteful number, since it uses less digits than its factorization.

210420442432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34176 (or 34147 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 210420442432 its reverse (234244024012), we get a palindrome (444664466444).

The spelling of 210420442432 in words is "two hundred ten billion, four hundred twenty million, four hundred forty-two thousand, four hundred thirty-two".