4138594488 has 288 divisors, whose sum is σ = 13658112000. Its totient is φ = 1127468160.

The previous prime is 4138594463. The next prime is 4138594511. The reversal of 4138594488 is 8844958314.

It is a happy number.

4138594488 is a `hidden beast` number, since 4 + 1 + 3 + 8 + 594 + 48 + 8 = 666.

It is a super-2 number, since 2×4138594488² = 34255928672207964288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8639833 + ... + 8640311.

It is an arithmetic number, because the mean of its divisors is an integer number (47424000).

Almost surely, 2^4138594488 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 4138594488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6829056000).

4138594488 is an abundant number, since it is smaller than the sum of its proper divisors (9519517512).

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

4138594488 is a wasteful number, since it uses less digits than its factorization.

4138594488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 601 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The square root of 4138594488 is about 64331.9087856096. The cubic root of 4138594488 is about 1605.5270426816.

The spelling of 4138594488 in words is "four billion, one hundred thirty-eight million, five hundred ninety-four thousand, four hundred eighty-eight".