40957266435457 has 2 divisors, whose sum is σ = 40957266435458. Its totient is φ = 40957266435456.

The previous prime is 40957266435439. The next prime is 40957266435461. The reversal of 40957266435457 is 75453466275904.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40955916901761 + 1349533696 = 6399681^2 + 36736^2 .

It is a cyclic number.

It is not a de Polignac number, because 40957266435457 - 2³⁵ = 40922906697089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40957266435392 and 40957266435401.

It is not a weakly prime, because it can be changed into another prime (40957266435467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20478633217728 + 20478633217729.

It is an arithmetic number, because the mean of its divisors is an integer number (20478633217729).

Almost surely, 2^{40957266435457} is an apocalyptic number.

It is an amenable number.

40957266435457 is a deficient number, since it is larger than the sum of its proper divisors (1).

40957266435457 is an equidigital number, since it uses as much as digits as its factorization.

40957266435457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 762048000, while the sum is 67.

The spelling of 40957266435457 in words is "forty trillion, nine hundred fifty-seven billion, two hundred sixty-six million, four hundred thirty-five thousand, four hundred fifty-seven".