4001261238857 has 2 divisors, whose sum is σ = 4001261238858. Its totient is φ = 4001261238856.

The previous prime is 4001261238847. The next prime is 4001261238883. The reversal of 4001261238857 is 7588321621004.

4001261238857 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3187781710096 + 813479528761 = 1785436^2 + 901931^2 .

It is a cyclic number.

It is not a de Polignac number, because 4001261238857 - 2¹⁰ = 4001261237833 is a prime.

It is not a weakly prime, because it can be changed into another prime (4001261238847) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2000630619428 + 2000630619429.

It is an arithmetic number, because the mean of its divisors is an integer number (2000630619429).

Almost surely, 2^{4001261238857} is an apocalyptic number.

It is an amenable number.

4001261238857 is a deficient number, since it is larger than the sum of its proper divisors (1).

4001261238857 is an equidigital number, since it uses as much as digits as its factorization.

4001261238857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 645120, while the sum is 47.

The spelling of 4001261238857 in words is "four trillion, one billion, two hundred sixty-one million, two hundred thirty-eight thousand, eight hundred fifty-seven".