413002007936 has 64 divisors (see below), whose sum is σ = 942331553280. Its totient is φ = 176621664768.

The previous prime is 413002007881. The next prime is 413002008011. The reversal of 413002007936 is 639700200314.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 413002007896 and 413002007905.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 75080 + ... + 911943.

It is an arithmetic number, because the mean of its divisors is an integer number (14723930520).

Almost surely, 2^413002007936 is an apocalyptic number.

It is an amenable number.

413002007936 is an abundant number, since it is smaller than the sum of its proper divisors (529329545344).

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

413002007936 is an equidigital number, since it uses as much as digits as its factorization.

413002007936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987511 (or 987499 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The spelling of 413002007936 in words is "four hundred thirteen billion, two million, seven thousand, nine hundred thirty-six".