1005804398404 has 81 divisors (see below), whose sum is σ = 2025573201477. Its totient is φ = 436717951488.

The previous prime is 1005804398393. The next prime is 1005804398447. The reversal of 1005804398404 is 4048934085001.

The square root of 1005804398404 is 1002898.

It is a perfect power (a square), and thus also a powerful number.

1005804398404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 993008264004 + 12796134400 = 996498^2 + 113120^2 .

It is a super-3 number, since 3×1005804398404³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 443279782 + ... + 443282050.

Almost surely, 2^{1005804398404} is an apocalyptic number.

1005804398404 is the 1002898-th square number.

It is an amenable number.

1005804398404 is an abundant number, since it is smaller than the sum of its proper divisors (1019768803073).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1005804398404 is an equidigital number, since it uses as much as digits as its factorization.

1005804398404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4602 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The spelling of 1005804398404 in words is "one trillion, five billion, eight hundred four million, three hundred ninety-eight thousand, four hundred four".