4261303410401 has 2 divisors, whose sum is σ = 4261303410402. Its totient is φ = 4261303410400.

The previous prime is 4261303410379. The next prime is 4261303410431. The reversal of 4261303410401 is 1040143031624.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3739659792400 + 521643618001 = 1933820^2 + 722249^2 .

It is a cyclic number.

It is not a de Polignac number, because 4261303410401 - 2²⁶ = 4261236301537 is a prime.

It is not a weakly prime, because it can be changed into another prime (4261303410431) 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, 2130651705200 + 2130651705201.

It is an arithmetic number, because the mean of its divisors is an integer number (2130651705201).

Almost surely, 2^{4261303410401} is an apocalyptic number.

It is an amenable number.

4261303410401 is a deficient number, since it is larger than the sum of its proper divisors (1).

4261303410401 is an equidigital number, since it uses as much as digits as its factorization.

4261303410401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 29.

The spelling of 4261303410401 in words is "four trillion, two hundred sixty-one billion, three hundred three million, four hundred ten thousand, four hundred one".