20411265424 has 135 divisors (see below), whose sum is σ = 46419253153. Its totient is φ = 8686374400.

The previous prime is 20411265419. The next prime is 20411265461. The reversal of 20411265424 is 42456211402.

The square root of 20411265424 is 142868.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15891123600 + 4520141824 = 126060^2 + 67232^2 .

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 106865169 + ... + 106865359.

Almost surely, 2^20411265424 is an apocalyptic number.

20411265424 is the 142868-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20411265424

20411265424 is an abundant number, since it is smaller than the sum of its proper divisors (26007987729).

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

20411265424 is a wasteful number, since it uses less digits than its factorization.

20411265424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 20411265424 its reverse (42456211402), we get a palindrome (62867476826).

The spelling of 20411265424 in words is "twenty billion, four hundred eleven million, two hundred sixty-five thousand, four hundred twenty-four".