4001921795317 has 2 divisors, whose sum is σ = 4001921795318. Its totient is φ = 4001921795316.

The previous prime is 4001921795243. The next prime is 4001921795329. The reversal of 4001921795317 is 7135971291004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3605407261681 + 396514533636 = 1898791^2 + 629694^2 .

It is a cyclic number.

It is not a de Polignac number, because 4001921795317 - 2¹⁵ = 4001921762549 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4001921795617) 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, 2000960897658 + 2000960897659.

It is an arithmetic number, because the mean of its divisors is an integer number (2000960897659).

Almost surely, 2^{4001921795317} is an apocalyptic number.

It is an amenable number.

4001921795317 is a deficient number, since it is larger than the sum of its proper divisors (1).

4001921795317 is an equidigital number, since it uses as much as digits as its factorization.

4001921795317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 476280, while the sum is 49.

The spelling of 4001921795317 in words is "four trillion, one billion, nine hundred twenty-one million, seven hundred ninety-five thousand, three hundred seventeen".