413076605000 has 40 divisors (see below), whose sum is σ = 967838497230. Its totient is φ = 165230640000.

The previous prime is 413076604981. The next prime is 413076605047. The reversal of 413076605000 is 506670314.

It can be written as a sum of positive squares in 5 ways, for example, as 80223764644 + 332852840356 = 283238^2 + 576934^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 41302661 + ... + 41312660.

Almost surely, 2^413076605000 is an apocalyptic number.

413076605000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413076605000 is an abundant number, since it is smaller than the sum of its proper divisors (554761892230).

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

413076605000 is an equidigital number, since it uses as much as digits as its factorization.

413076605000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82615347 (or 82615328 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The spelling of 413076605000 in words is "four hundred thirteen billion, seventy-six million, six hundred five thousand".