4086132480 has 504 divisors, whose sum is σ = 15281189280. Its totient is φ = 1045094400.

The previous prime is 4086132473. The next prime is 4086132487. The reversal of 4086132480 is 842316804.

4086132480 is a `hidden beast` number, since 40 + 8 + 6 + 132 + 480 = 666.

4086132480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4086132473) and next prime (4086132487).

It is a super-2 number, since 2×4086132480² = 33392957288221900800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4086132487) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 27060405 + ... + 27060555.

It is an arithmetic number, because the mean of its divisors is an integer number (30319820).

Almost surely, 2^4086132480 is an apocalyptic number.

4086132480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4086132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7640594640).

4086132480 is an abundant number, since it is smaller than the sum of its proper divisors (11195056800).

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

4086132480 is an equidigital number, since it uses as much as digits as its factorization.

4086132480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4086132480 is about 63922.8635153339. The cubic root of 4086132480 is about 1598.7141335357.

The spelling of 4086132480 in words is "four billion, eighty-six million, one hundred thirty-two thousand, four hundred eighty".