442711271230801 has 2 divisors, whose sum is σ = 442711271230802. Its totient is φ = 442711271230800.

The previous prime is 442711271230763. The next prime is 442711271230829. The reversal of 442711271230801 is 108032172117244.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 441857216160000 + 854055070801 = 21020400^2 + 924151^2 .

It is a cyclic number.

It is not a de Polignac number, because 442711271230801 - 2¹³ = 442711271222609 is a prime.

It is a super-2 number, since 2×442711271230801² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (442711271230001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 221355635615400 + 221355635615401.

It is an arithmetic number, because the mean of its divisors is an integer number (221355635615401).

Almost surely, 2^{442711271230801} is an apocalyptic number.

It is an amenable number.

442711271230801 is a deficient number, since it is larger than the sum of its proper divisors (1).

442711271230801 is an equidigital number, since it uses as much as digits as its factorization.

442711271230801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 150528, while the sum is 43.

The spelling of 442711271230801 in words is "four hundred forty-two trillion, seven hundred eleven billion, two hundred seventy-one million, two hundred thirty thousand, eight hundred one".