4138526528 has 56 divisors (see below), whose sum is σ = 8580120000. Its totient is φ = 1976832000.

The previous prime is 4138526527. The next prime is 4138526537. The reversal of 4138526528 is 8256258314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4138526527) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1837403 + ... + 1839653.

Almost surely, 2^4138526528 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 4138526528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4290060000).

4138526528 is an abundant number, since it is smaller than the sum of its proper divisors (4441593472).

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

4138526528 is a wasteful number, since it uses less digits than its factorization.

4138526528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3535 (or 3525 counting only the distinct ones).

The product of its digits is 460800, while the sum is 44.

The square root of 4138526528 is about 64331.3805852167. The cubic root of 4138526528 is about 1605.5182544956.

The spelling of 4138526528 in words is "four billion, one hundred thirty-eight million, five hundred twenty-six thousand, five hundred twenty-eight".