4086429984 has 288 divisors, whose sum is σ = 14655199104. Its totient is φ = 1051176960.

The previous prime is 4086429983. The next prime is 4086430027. The reversal of 4086429984 is 4899246804.

4086429984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 4086429984.

It is not an unprimeable number, because it can be changed into a prime (4086429983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1072627 + ... + 1076429.

It is an arithmetic number, because the mean of its divisors is an integer number (50886108).

Almost surely, 2^4086429984 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 4086429984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7327599552).

4086429984 is an abundant number, since it is smaller than the sum of its proper divisors (10568769120).

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

4086429984 is a wasteful number, since it uses less digits than its factorization.

4086429984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3880 (or 3869 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 4086429984 is about 63925.1905276785. The cubic root of 4086429984 is about 1598.7529324332.

The spelling of 4086429984 in words is "four billion, eighty-six million, four hundred twenty-nine thousand, nine hundred eighty-four".