4086966280320 has 384 divisors, whose sum is σ = 17595187908480. Its totient is φ = 849239654400.

The previous prime is 4086966280297. The next prime is 4086966280333. The reversal of 4086966280320 is 230826696804.

4086966280320 is a `hidden beast` number, since 4 + 0 + 8 + 6 + 9 + 6 + 628 + 0 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×4086966280320³ (a number of 39 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 4163901 + ... + 5050940.

It is an arithmetic number, because the mean of its divisors is an integer number (45820801845).

Almost surely, 2^{4086966280320} is an apocalyptic number.

4086966280320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4086966280320 is an abundant number, since it is smaller than the sum of its proper divisors (13508221628160).

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

4086966280320 is a wasteful number, since it uses less digits than its factorization.

4086966280320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9214884 (or 9214869 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 4086966280320 in words is "four trillion, eighty-six billion, nine hundred sixty-six million, two hundred eighty thousand, three hundred twenty".