8209305128040 has 64 divisors (see below), whose sum is σ = 24738354547200. Its totient is φ = 2179331219712.

The previous prime is 8209305127967. The next prime is 8209305128099. The reversal of 8209305128040 is 408215039028.

It is a junction number, because it is equal to n+sod(n) for n = 8209305127983 and 8209305128001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153360855 + ... + 153414374.

It is an arithmetic number, because the mean of its divisors is an integer number (386536789800).

Almost surely, 2^{8209305128040} is an apocalyptic number.

It is an amenable number.

8209305128040 is an abundant number, since it is smaller than the sum of its proper divisors (16529049419160).

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

8209305128040 is a wasteful number, since it uses less digits than its factorization.

8209305128040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306775466 (or 306775462 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 8209305128040 in words is "eight trillion, two hundred nine billion, three hundred five million, one hundred twenty-eight thousand, forty".