4138091585 has 8 divisors (see below), whose sum is σ = 4976578536. Its totient is φ = 3303227520.

The previous prime is 4138091569. The next prime is 4138091593. The reversal of 4138091585 is 5851908314.

It is a Cunningham number, because it is equal to 64328²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1489651216 + 2648440369 = 38596^2 + 51463^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 4138091585 - 2⁴ = 4138091569 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 903206 + ... + 907775.

It is an arithmetic number, because the mean of its divisors is an integer number (622072317).

Almost surely, 2^4138091585 is an apocalyptic number.

It is an amenable number.

4138091585 is a deficient number, since it is larger than the sum of its proper divisors (838486951).

4138091585 is a wasteful number, since it uses less digits than its factorization.

4138091585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811443.

The product of its (nonzero) digits is 172800, while the sum is 44.

The square root of 4138091585 is about 64328.0000077727. Note that the first 5 decimals coincide. The cubic root of 4138091585 is about 1605.4620079558.

Adding to 4138091585 its reverse (5851908314), we get a palindrome (9989999899).

The spelling of 4138091585 in words is "four billion, one hundred thirty-eight million, ninety-one thousand, five hundred eighty-five".