20541414401 has 12 divisors (see below), whose sum is σ = 21463992900. Its totient is φ = 19655349120.

The previous prime is 20541414371. The next prime is 20541414403. The reversal of 20541414401 is 10441414502.

It can be written as a sum of positive squares in 2 ways, for example, as 13007174401 + 7534240000 = 114049^2 + 86800^2 .

It is not a de Polignac number, because 20541414401 - 2¹⁰ = 20541413377 is a prime.

It is a super-2 number, since 2×20541414401² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20541414403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 34556 + ... + 205613.

It is an arithmetic number, because the mean of its divisors is an integer number (1788666075).

Almost surely, 2^20541414401 is an apocalyptic number.

It is an amenable number.

20541414401 is a deficient number, since it is larger than the sum of its proper divisors (922578499).

20541414401 is an equidigital number, since it uses as much as digits as its factorization.

20541414401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240320 (or 240289 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

Adding to 20541414401 its reverse (10441414502), we get a palindrome (30982828903).

The spelling of 20541414401 in words is "twenty billion, five hundred forty-one million, four hundred fourteen thousand, four hundred one".