4086511928064 has 720 divisors, whose sum is σ = 13479969222720. Its totient is φ = 1225500917760.

The previous prime is 4086511928063. The next prime is 4086511928123. The reversal of 4086511928064 is 4608291156804.

4086511928064 is a `hidden beast` number, since 40 + 8 + 6 + 511 + 9 + 2 + 80 + 6 + 4 = 666.

4086511928064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4086511928064.

It is not an unprimeable number, because it can be changed into a prime (4086511928063) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1052951404 + ... + 1052955284.

It is an arithmetic number, because the mean of its divisors is an integer number (18722179476).

Almost surely, 2^{4086511928064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4086511928064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6739984611360).

4086511928064 is an abundant number, since it is smaller than the sum of its proper divisors (9393457294656).

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

4086511928064 is a wasteful number, since it uses less digits than its factorization.

4086511928064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4058 (or 4035 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 4086511928064 in words is "four trillion, eighty-six billion, five hundred eleven million, nine hundred twenty-eight thousand, sixty-four".