4138091584 has 189 divisors, whose sum is σ = 9816221541. Its totient is φ = 1729136640.

The previous prime is 4138091569. The next prime is 4138091593. The reversal of 4138091584 is 4851908314.

The square root of 4138091584 is 64328.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3221697600 + 916393984 = 56760^2 + 30272^2 .

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4138091584.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 96234667 + ... + 96234709.

Almost surely, 2^4138091584 is an apocalyptic number.

4138091584 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

4138091584 is the 64328-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4138091584

4138091584 is an abundant number, since it is smaller than the sum of its proper divisors (5678129957).

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

4138091584 is a wasteful number, since it uses less digits than its factorization.

4138091584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The cubic root of 4138091584 is about 1605.4620078265.

Adding to 4138091584 its reverse (4851908314), we get a palindrome (8989999898).

The spelling of 4138091584 in words is "four billion, one hundred thirty-eight million, ninety-one thousand, five hundred eighty-four".