4179482496 has 256 divisors, whose sum is σ = 14554828800. Its totient is φ = 1155409920.

The previous prime is 4179482471. The next prime is 4179482551. The reversal of 4179482496 is 6942849714.

4179482496 is a `hidden beast` number, since 4 + 1 + 79 + 4 + 82 + 496 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 747166 + ... + 752738.

It is an arithmetic number, because the mean of its divisors is an integer number (56854800).

Almost surely, 2^4179482496 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 4179482496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7277414400).

4179482496 is an abundant number, since it is smaller than the sum of its proper divisors (10375346304).

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

4179482496 is a wasteful number, since it uses less digits than its factorization.

4179482496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5634 (or 5616 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 4179482496 is about 64648.9172067097. The cubic root of 4179482496 is about 1610.7970920265.

The spelling of 4179482496 in words is "four billion, one hundred seventy-nine million, four hundred eighty-two thousand, four hundred ninety-six".