4267729950457 has 2 divisors, whose sum is σ = 4267729950458. Its totient is φ = 4267729950456.

The previous prime is 4267729950427. The next prime is 4267729950487. The reversal of 4267729950457 is 7540599277624.

It is a balanced prime because it is at equal distance from previous prime (4267729950427) and next prime (4267729950487).

It can be written as a sum of positive squares in only one way, i.e., 4079737466896 + 187992483561 = 2019836^2 + 433581^2 .

It is a cyclic number.

It is not a de Polignac number, because 4267729950457 - 2¹¹ = 4267729948409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4267729950392 and 4267729950401.

It is not a weakly prime, because it can be changed into another prime (4267729950427) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2133864975228 + 2133864975229.

It is an arithmetic number, because the mean of its divisors is an integer number (2133864975229).

Almost surely, 2^{4267729950457} is an apocalyptic number.

It is an amenable number.

4267729950457 is a deficient number, since it is larger than the sum of its proper divisors (1).

4267729950457 is an equidigital number, since it uses as much as digits as its factorization.

4267729950457 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 266716800, while the sum is 67.

The spelling of 4267729950457 in words is "four trillion, two hundred sixty-seven billion, seven hundred twenty-nine million, nine hundred fifty thousand, four hundred fifty-seven".