4086160662528 has 168 divisors, whose sum is σ = 13489994445408. Its totient is φ = 1167474327552.

The previous prime is 4086160662527. The next prime is 4086160662539. The reversal of 4086160662528 is 8252660616804.

4086160662528 is a `hidden beast` number, since 4 + 0 + 8 + 6 + 1 + 6 + 0 + 6 + 625 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (4086160662527) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3442626 + ... + 4474817.

Almost surely, 2^{4086160662528} is an apocalyptic number.

4086160662528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4086160662528 is an abundant number, since it is smaller than the sum of its proper divisors (9403833782880).

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

4086160662528 is an equidigital number, since it uses as much as digits as its factorization.

4086160662528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7917482 (or 7917455 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 4086160662528 in words is "four trillion, eighty-six billion, one hundred sixty million, six hundred sixty-two thousand, five hundred twenty-eight".