410405335201993 has 2 divisors, whose sum is σ = 410405335201994. Its totient is φ = 410405335201992.

The previous prime is 410405335201937. The next prime is 410405335202021. The reversal of 410405335201993 is 399102533504014.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 305144055267129 + 105261279934864 = 17468373^2 + 10259692^2 .

It is a cyclic number.

It is not a de Polignac number, because 410405335201993 - 2¹⁷ = 410405335070921 is a prime.

It is a super-2 number, since 2×410405335201993² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (410405339201993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 205202667600996 + 205202667600997.

It is an arithmetic number, because the mean of its divisors is an integer number (205202667600997).

Almost surely, 2^{410405335201993} is an apocalyptic number.

It is an amenable number.

410405335201993 is a deficient number, since it is larger than the sum of its proper divisors (1).

410405335201993 is an equidigital number, since it uses as much as digits as its factorization.

410405335201993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1749600, while the sum is 49.

The spelling of 410405335201993 in words is "four hundred ten trillion, four hundred five billion, three hundred thirty-five million, two hundred one thousand, nine hundred ninety-three".