4138573824 has 504 divisors, whose sum is σ = 15477609888. Its totient is φ = 1074954240.

The previous prime is 4138573759. The next prime is 4138573849. The reversal of 4138573824 is 4283758314.

4138573824 is a `hidden beast` number, since 41 + 38 + 573 + 8 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 4138573824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 376233979 + ... + 376233989.

Almost surely, 2^4138573824 is an apocalyptic number.

4138573824 is a gapful number since it is divisible by the number (44) 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 4138573824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7738804944).

4138573824 is an abundant number, since it is smaller than the sum of its proper divisors (11339036064).

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

4138573824 is an frugal number, since it uses more digits than its factorization.

4138573824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 23 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 4138573824 is about 64331.7481808166. The cubic root of 4138573824 is about 1605.5243705453.

The spelling of 4138573824 in words is "four billion, one hundred thirty-eight million, five hundred seventy-three thousand, eight hundred twenty-four".