4205251442561 has 32 divisors (see below), whose sum is σ = 4626809994240. Its totient is φ = 3798333000000.

The previous prime is 4205251442533. The next prime is 4205251442563. The reversal of 4205251442561 is 1652441525024.

It is a cyclic number.

It is not a de Polignac number, because 4205251442561 - 2¹⁴ = 4205251426177 is a prime.

It is a super-2 number, since 2×4205251442561² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4205251442563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 343251686 + ... + 343263936.

It is an arithmetic number, because the mean of its divisors is an integer number (144587812320).

Almost surely, 2^{4205251442561} is an apocalyptic number.

It is an amenable number.

4205251442561 is a deficient number, since it is larger than the sum of its proper divisors (421558551679).

4205251442561 is a wasteful number, since it uses less digits than its factorization.

4205251442561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14357.

The product of its (nonzero) digits is 384000, while the sum is 41.

Adding to 4205251442561 its reverse (1652441525024), we get a palindrome (5857692967585).

The spelling of 4205251442561 in words is "four trillion, two hundred five billion, two hundred fifty-one million, four hundred forty-two thousand, five hundred sixty-one".