8007014397409 has 2 divisors, whose sum is σ = 8007014397410. Its totient is φ = 8007014397408.

The previous prime is 8007014397359. The next prime is 8007014397427. The reversal of 8007014397409 is 9047934107008.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7998149610000 + 8864787409 = 2828100^2 + 94153^2 .

It is a cyclic number.

It is not a de Polignac number, because 8007014397409 - 2¹⁹ = 8007013873121 is a prime.

It is a super-2 number, since 2×8007014397409² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (8007018397409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4003507198704 + 4003507198705.

It is an arithmetic number, because the mean of its divisors is an integer number (4003507198705).

Almost surely, 2^{8007014397409} is an apocalyptic number.

It is an amenable number.

8007014397409 is a deficient number, since it is larger than the sum of its proper divisors (1).

8007014397409 is an equidigital number, since it uses as much as digits as its factorization.

8007014397409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1524096, while the sum is 52.

The spelling of 8007014397409 in words is "eight trillion, seven billion, fourteen million, three hundred ninety-seven thousand, four hundred nine".