20411420224 has 112 divisors (see below), whose sum is σ = 44308257840. Its totient is φ = 9273139200.

The previous prime is 20411420203. The next prime is 20411420273. The reversal of 20411420224 is 42202411402.

It can be written as a sum of positive squares in 8 ways, for example, as 1034780224 + 19376640000 = 32168^2 + 139200^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20411420195 and 20411420204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15688374 + ... + 15689674.

It is an arithmetic number, because the mean of its divisors is an integer number (395609445).

Almost surely, 2^20411420224 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 20411420224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22154128920).

20411420224 is an abundant number, since it is smaller than the sum of its proper divisors (23896837616).

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

20411420224 is a wasteful number, since it uses less digits than its factorization.

20411420224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 20411420224 its reverse (42202411402), we get a palindrome (62613831626).

The spelling of 20411420224 in words is "twenty billion, four hundred eleven million, four hundred twenty thousand, two hundred twenty-four".