4086861005088 has 72 divisors (see below), whose sum is σ = 11637364326588. Its totient is φ = 1360487342592.

The previous prime is 4086861005063. The next prime is 4086861005111. The reversal of 4086861005088 is 8805001686804.

4086861005088 is a `hidden beast` number, since 40 + 8 + 6 + 86 + 10 + 0 + 508 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3677603973264 + 409257031824 = 1917708^2 + 639732^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9154831 + ... + 9590862.

Almost surely, 2^{4086861005088} is an apocalyptic number.

4086861005088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4086861005088 is an abundant number, since it is smaller than the sum of its proper divisors (7550503321500).

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

4086861005088 is a wasteful number, since it uses less digits than its factorization.

4086861005088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18746466 (or 18746455 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 4086861005088 in words is "four trillion, eighty-six billion, eight hundred sixty-one million, five thousand, eighty-eight".