4042401158177 has 2 divisors, whose sum is σ = 4042401158178. Its totient is φ = 4042401158176.

The previous prime is 4042401158111. The next prime is 4042401158221. The reversal of 4042401158177 is 7718511042404.

It is an a-pointer prime, because the next prime (4042401158221) can be obtained adding 4042401158177 to its sum of digits (44).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3951046700176 + 91354458001 = 1987724^2 + 302249^2 .

It is a cyclic number.

It is not a de Polignac number, because 4042401158177 - 2³⁰ = 4041327416353 is a prime.

It is not a weakly prime, because it can be changed into another prime (4042401128177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2021200579088 + 2021200579089.

It is an arithmetic number, because the mean of its divisors is an integer number (2021200579089).

Almost surely, 2^{4042401158177} is an apocalyptic number.

It is an amenable number.

4042401158177 is a deficient number, since it is larger than the sum of its proper divisors (1).

4042401158177 is an equidigital number, since it uses as much as digits as its factorization.

4042401158177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 250880, while the sum is 44.

The spelling of 4042401158177 in words is "four trillion, forty-two billion, four hundred one million, one hundred fifty-eight thousand, one hundred seventy-seven".