4141415565 has 36 divisors (see below), whose sum is σ = 8350450524. Its totient is φ = 1893217536.

The previous prime is 4141415563. The next prime is 4141415567. The reversal of 4141415565 is 5655141414.

4141415565 is a `hidden beast` number, since 41 + 41 + 4 + 15 + 565 = 666.

It is an interprime number because it is at equal distance from previous prime (4141415563) and next prime (4141415567).

It can be written as a sum of positive squares in 2 ways, for example, as 1753431876 + 2387983689 = 41874^2 + 48867^2 .

It is not a de Polignac number, because 4141415565 - 2¹ = 4141415563 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141415563) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 936892 + ... + 941301.

It is an arithmetic number, because the mean of its divisors is an integer number (231956959).

Almost surely, 2^4141415565 is an apocalyptic number.

4141415565 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4141415565 is an abundant number, since it is smaller than the sum of its proper divisors (4209034959).

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

4141415565 is a wasteful number, since it uses less digits than its factorization.

4141415565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878218 (or 1878208 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 4141415565 is about 64353.8310048438. The cubic root of 4141415565 is about 1605.8917628524.

Adding to 4141415565 its reverse (5655141414), we get a palindrome (9796556979).

The spelling of 4141415565 in words is "four billion, one hundred forty-one million, four hundred fifteen thousand, five hundred sixty-five".