1005804398405 has 16 divisors (see below), whose sum is σ = 1213805159280. Its totient is φ = 800092697088.

The previous prime is 1005804398393. The next prime is 1005804398447. The reversal of 1005804398405 is 5048934085001.

It is a happy number.

It is a Cunningham number, because it is equal to 1002898²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 1 + 1005804398404 = 1^2 + 1002898^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005804398405 - 2¹⁴ = 1005804382021 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1005804398405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316889 + ... + 1453281.

It is an arithmetic number, because the mean of its divisors is an integer number (75862822455).

Almost surely, 2^{1005804398405} is an apocalyptic number.

It is an amenable number.

1005804398405 is a deficient number, since it is larger than the sum of its proper divisors (208000760875).

1005804398405 is a wasteful number, since it uses less digits than its factorization.

1005804398405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137400.

The product of its (nonzero) digits is 691200, while the sum is 47.

The spelling of 1005804398405 in words is "one trillion, five billion, eight hundred four million, three hundred ninety-eight thousand, four hundred five".