442431100010461 has 2 divisors, whose sum is σ = 442431100010462. Its totient is φ = 442431100010460.

The previous prime is 442431100010407. The next prime is 442431100010477. The reversal of 442431100010461 is 164010001134244.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 235522121692900 + 206908978317561 = 15346730^2 + 14384331^2 .

It is a cyclic number.

It is not a de Polignac number, because 442431100010461 - 2²⁹ = 442430563139549 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (442431100016461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 221215550005230 + 221215550005231.

It is an arithmetic number, because the mean of its divisors is an integer number (221215550005231).

Almost surely, 2^{442431100010461} is an apocalyptic number.

It is an amenable number.

442431100010461 is a deficient number, since it is larger than the sum of its proper divisors (1).

442431100010461 is an equidigital number, since it uses as much as digits as its factorization.

442431100010461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 442431100010461 in words is "four hundred forty-two trillion, four hundred thirty-one billion, one hundred million, ten thousand, four hundred sixty-one".