6426829066041 has 12 divisors (see below), whose sum is σ = 9378900608532. Its totient is φ = 4240382063616.

The previous prime is 6426829066039. The next prime is 6426829066093. The reversal of 6426829066041 is 1406609286246.

6426829066041 is a `hidden beast` number, since 6 + 4 + 2 + 6 + 8 + 29 + 0 + 6 + 604 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1976821940025 + 4450007126016 = 1405995^2 + 2109504^2 .

It is not a de Polignac number, because 6426829066041 - 2¹ = 6426829066039 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6426829062041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3680886336 + ... + 3680888081.

It is an arithmetic number, because the mean of its divisors is an integer number (781575050711).

Almost surely, 2^{6426829066041} is an apocalyptic number.

It is an amenable number.

6426829066041 is a deficient number, since it is larger than the sum of its proper divisors (2952071542491).

6426829066041 is a wasteful number, since it uses less digits than its factorization.

6426829066041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7361774520 (or 7361774517 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 6426829066041 in words is "six trillion, four hundred twenty-six billion, eight hundred twenty-nine million, sixty-six thousand, forty-one".