126427693416041 has 2 divisors, whose sum is σ = 126427693416042. Its totient is φ = 126427693416040.

The previous prime is 126427693416019. The next prime is 126427693416103. The reversal of 126427693416041 is 140614396724621.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 126093585139600 + 334108276441 = 11229140^2 + 578021^2 .

It is a cyclic number.

It is not a de Polignac number, because 126427693416041 - 2³⁴ = 126410513546857 is a prime.

It is a super-2 number, since 2×126427693416041² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (146427693416041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63213846708020 + 63213846708021.

It is an arithmetic number, because the mean of its divisors is an integer number (63213846708021).

Almost surely, 2^{126427693416041} is an apocalyptic number.

It is an amenable number.

126427693416041 is a deficient number, since it is larger than the sum of its proper divisors (1).

126427693416041 is an equidigital number, since it uses as much as digits as its factorization.

126427693416041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10450944, while the sum is 56.

The spelling of 126427693416041 in words is "one hundred twenty-six trillion, four hundred twenty-seven billion, six hundred ninety-three million, four hundred sixteen thousand, forty-one".