3414805640993 has 2 divisors, whose sum is σ = 3414805640994. Its totient is φ = 3414805640992.

The previous prime is 3414805640959. The next prime is 3414805641031. The reversal of 3414805640993 is 3990465084143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2463932974864 + 950872666129 = 1569692^2 + 975127^2 .

It is an emirp because it is prime and its reverse (3990465084143) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3414805640993 - 2¹⁶ = 3414805575457 is a prime.

It is a super-2 number, since 2×3414805640993² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3414805640593) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1707402820496 + 1707402820497.

It is an arithmetic number, because the mean of its divisors is an integer number (1707402820497).

Almost surely, 2^{3414805640993} is an apocalyptic number.

It is an amenable number.

3414805640993 is a deficient number, since it is larger than the sum of its proper divisors (1).

3414805640993 is an equidigital number, since it uses as much as digits as its factorization.

3414805640993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11197440, while the sum is 56.

The spelling of 3414805640993 in words is "three trillion, four hundred fourteen billion, eight hundred five million, six hundred forty thousand, nine hundred ninety-three".