4126506644401 has 2 divisors, whose sum is σ = 4126506644402. Its totient is φ = 4126506644400.

The previous prime is 4126506644383. The next prime is 4126506644413. The reversal of 4126506644401 is 1044466056214.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3999104050176 + 127402594225 = 1999776^2 + 356935^2 .

It is a cyclic number.

It is not a de Polignac number, because 4126506644401 - 2¹³ = 4126506636209 is a prime.

It is not a weakly prime, because it can be changed into another prime (4126506644801) 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 as a sum of consecutive naturals, namely, 2063253322200 + 2063253322201.

It is an arithmetic number, because the mean of its divisors is an integer number (2063253322201).

Almost surely, 2^{4126506644401} is an apocalyptic number.

It is an amenable number.

4126506644401 is a deficient number, since it is larger than the sum of its proper divisors (1).

4126506644401 is an equidigital number, since it uses as much as digits as its factorization.

4126506644401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 552960, while the sum is 43.

The spelling of 4126506644401 in words is "four trillion, one hundred twenty-six billion, five hundred six million, six hundred forty-four thousand, four hundred one".