4138625568 has 192 divisors, whose sum is σ = 13581001728. Its totient is φ = 1072081920.

The previous prime is 4138625539. The next prime is 4138625599. The reversal of 4138625568 is 8655268314.

It is a happy number.

4138625568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5003971 + ... + 5004797.

It is an arithmetic number, because the mean of its divisors is an integer number (70734384).

Almost surely, 2^4138625568 is an apocalyptic number.

4138625568 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 4138625568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6790500864).

4138625568 is an abundant number, since it is smaller than the sum of its proper divisors (9442376160).

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

4138625568 is a wasteful number, since it uses less digits than its factorization.

4138625568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1527 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 48.

The square root of 4138625568 is about 64332.1503449092. The cubic root of 4138625568 is about 1605.5310617317.

The spelling of 4138625568 in words is "four billion, one hundred thirty-eight million, six hundred twenty-five thousand, five hundred sixty-eight".