210424240444104 has 192 divisors, whose sum is σ = 624270063970800. Its totient is φ = 63734975152128.

The previous prime is 210424240444091. The next prime is 210424240444109. The reversal of 210424240444104 is 401444042424012.

210424240444104 is a `hidden beast` number, since 2 + 1 + 0 + 4 + 242 + 404 + 4 + 4 + 1 + 0 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 36085226381604 + 174339014062500 = 6007098^2 + 13203750^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (210424240444109) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 579574692 + ... + 579937644.

Almost surely, 2^{210424240444104} is an apocalyptic number.

210424240444104 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 210424240444104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312135031985400).

210424240444104 is an abundant number, since it is smaller than the sum of its proper divisors (413845823526696).

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

210424240444104 is a wasteful number, since it uses less digits than its factorization.

210424240444104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379344 (or 379337 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 210424240444104 its reverse (401444042424012), we get a palindrome (611868282868116).

The spelling of 210424240444104 in words is "two hundred ten trillion, four hundred twenty-four billion, two hundred forty million, four hundred forty-four thousand, one hundred four".