42261004801 has 2 divisors, whose sum is σ = 42261004802. Its totient is φ = 42261004800.

The previous prime is 42261004693. The next prime is 42261004831. The reversal of 42261004801 is 10840016224.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41993845776 + 267159025 = 204924^2 + 16345^2 .

It is a cyclic number.

It is not a de Polignac number, because 42261004801 - 2³⁵ = 7901266433 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42261004801.

It is not a weakly prime, because it can be changed into another prime (42261004831) 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, 21130502400 + 21130502401.

It is an arithmetic number, because the mean of its divisors is an integer number (21130502401).

Almost surely, 2^42261004801 is an apocalyptic number.

It is an amenable number.

42261004801 is a deficient number, since it is larger than the sum of its proper divisors (1).

42261004801 is an equidigital number, since it uses as much as digits as its factorization.

42261004801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3072, while the sum is 28.

The spelling of 42261004801 in words is "forty-two billion, two hundred sixty-one million, four thousand, eight hundred one".