4041258585 has 256 divisors, whose sum is σ = 8825241600. Its totient is φ = 1564738560.

The previous prime is 4041258577. The next prime is 4041258589. The reversal of 4041258585 is 5858521404.

4041258585 is digitally balanced in base 2, base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4041258585 - 2³ = 4041258577 is a prime.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4041258589) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 56919100 + ... + 56919170.

It is an arithmetic number, because the mean of its divisors is an integer number (34473600).

Almost surely, 2^4041258585 is an apocalyptic number.

It is an amenable number.

4041258585 is an abundant number, since it is smaller than the sum of its proper divisors (4783983015).

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

4041258585 is a wasteful number, since it uses less digits than its factorization.

4041258585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 42.

The square root of 4041258585 is about 63570.8941654905. The cubic root of 4041258585 is about 1592.8402203507.

Adding to 4041258585 its reverse (5858521404), we get a palindrome (9899779989).

The spelling of 4041258585 in words is "four billion, forty-one million, two hundred fifty-eight thousand, five hundred eighty-five".