4138862208 has 128 divisors (see below), whose sum is σ = 11931796800. Its totient is φ = 1263575040.

The previous prime is 4138862191. The next prime is 4138862209. The reversal of 4138862208 is 8022688314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 4138862208.

It is not an unprimeable number, because it can be changed into a prime (4138862209) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 650788 + ... + 657116.

Almost surely, 2^4138862208 is an apocalyptic number.

4138862208 is a gapful number since it is divisible by the number (48) 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 4138862208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5965898400).

4138862208 is an abundant number, since it is smaller than the sum of its proper divisors (7792934592).

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

4138862208 is a wasteful number, since it uses less digits than its factorization.

4138862208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6490 (or 6478 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 4138862208 is about 64333.9895234238. The cubic root of 4138862208 is about 1605.5616617158.

The spelling of 4138862208 in words is "four billion, one hundred thirty-eight million, eight hundred sixty-two thousand, two hundred eight".