4086152408 has 64 divisors (see below), whose sum is σ = 8554291200. Its totient is φ = 1817101440.

The previous prime is 4086152401. The next prime is 4086152417. The reversal of 4086152408 is 8042516804.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4086152401) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 767885 + ... + 773187.

It is an arithmetic number, because the mean of its divisors is an integer number (133660800).

Almost surely, 2^4086152408 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 4086152408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4277145600).

4086152408 is an abundant number, since it is smaller than the sum of its proper divisors (4468138792).

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

4086152408 is a wasteful number, since it uses less digits than its factorization.

4086152408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5592 (or 5588 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The square root of 4086152408 is about 63923.0193905138. The cubic root of 4086152408 is about 1598.7167324988.

The spelling of 4086152408 in words is "four billion, eighty-six million, one hundred fifty-two thousand, four hundred eight".