8042680386432 has 48 divisors (see below), whose sum is σ = 23143650594480. Its totient is φ = 2680893461760.

The previous prime is 8042680386361. The next prime is 8042680386467. The reversal of 8042680386432 is 2346830862408.

8042680386432 is a `hidden beast` number, since 80 + 4 + 26 + 80 + 38 + 6 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3490745544 + ... + 3490747847.

It is an arithmetic number, because the mean of its divisors is an integer number (482159387385).

Almost surely, 2^{8042680386432} is an apocalyptic number.

It is an amenable number.

8042680386432 is an abundant number, since it is smaller than the sum of its proper divisors (15100970208048).

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

8042680386432 is a wasteful number, since it uses less digits than its factorization.

8042680386432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6981493411 (or 6981493396 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 8042680386432 in words is "eight trillion, forty-two billion, six hundred eighty million, three hundred eighty-six thousand, four hundred thirty-two".