4008448825836 has 192 divisors, whose sum is σ = 12181127970816. Its totient is φ = 996966432000.

The previous prime is 4008448825811. The next prime is 4008448825841. The reversal of 4008448825836 is 6385288448004.

4008448825836 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4008448825836² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4008448825836.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 659311 + ... + 2907161.

It is an arithmetic number, because the mean of its divisors is an integer number (63443374848).

Almost surely, 2^{4008448825836} is an apocalyptic number.

4008448825836 is a gapful number since it is divisible by the number (46) 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 4008448825836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6090563985408).

4008448825836 is an abundant number, since it is smaller than the sum of its proper divisors (8172679144980).

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

4008448825836 is a wasteful number, since it uses less digits than its factorization.

4008448825836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247972 (or 2247970 counting only the distinct ones).

The product of its (nonzero) digits is 47185920, while the sum is 60.

The spelling of 4008448825836 in words is "four trillion, eight billion, four hundred forty-eight million, eight hundred twenty-five thousand, eight hundred thirty-six".