4086033984 has 140 divisors (see below), whose sum is σ = 12144109824. Its totient is φ = 1358436096.

The previous prime is 4086033983. The next prime is 4086033989. The reversal of 4086033984 is 4893306804.

4086033984 is a `hidden beast` number, since 4 + 0 + 8 + 603 + 39 + 8 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4086033983) 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 19 ways as a sum of consecutive naturals, for example, 2606769 + ... + 2608335.

Almost surely, 2^4086033984 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 4086033984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6072054912).

4086033984 is an abundant number, since it is smaller than the sum of its proper divisors (8058075840).

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

4086033984 is a wasteful number, since it uses less digits than its factorization.

4086033984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4086033984 is about 63922.0930821262. The cubic root of 4086033984 is about 1598.7012877935.

The spelling of 4086033984 in words is "four billion, eighty-six million, thirty-three thousand, nine hundred eighty-four".