8401713842041 has 9 divisors (see below), whose sum is σ = 9097754608431. Its totient is φ = 7755393379032.

The previous prime is 8401713842029. The next prime is 8401713842051. The reversal of 8401713842041 is 1402483171048.

The square root of 8401713842041 is 2898571.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1242857077225 + 7158856764816 = 1114835^2 + 2675604^2 .

It is not a de Polignac number, because 8401713842041 - 2²⁹ = 8401176971129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8401713842051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 37569940 + ... + 37792906.

It is an arithmetic number, because the mean of its divisors is an integer number (1010861623159).

Almost surely, 2^{8401713842041} is an apocalyptic number.

8401713842041 is the 2898571-st square number.

8401713842041 is the 1449286-th centered octagonal number.

It is an amenable number.

8401713842041 is a deficient number, since it is larger than the sum of its proper divisors (696040766390).

8401713842041 is an frugal number, since it uses more digits than its factorization.

8401713842041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445960 (or 222980 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The spelling of 8401713842041 in words is "eight trillion, four hundred one billion, seven hundred thirteen million, eight hundred forty-two thousand, forty-one".