210444401120 has 96 divisors (see below), whose sum is σ = 509094875520. Its totient is φ = 82162321920.

The previous prime is 210444401113. The next prime is 210444401131. The reversal of 210444401120 is 21104444012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10523291 + ... + 10543269.

It is an arithmetic number, because the mean of its divisors is an integer number (5303071620).

Almost surely, 2^210444401120 is an apocalyptic number.

210444401120 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 210444401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254547437760).

210444401120 is an abundant number, since it is smaller than the sum of its proper divisors (298650474400).

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

210444401120 is a wasteful number, since it uses less digits than its factorization.

210444401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21568 (or 21560 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 210444401120 its reverse (21104444012), we get a palindrome (231548845132).

The spelling of 210444401120 in words is "two hundred ten billion, four hundred forty-four million, four hundred one thousand, one hundred twenty".