4141415564 has 48 divisors (see below), whose sum is σ = 8559323136. Its totient is φ = 1728513600.

The previous prime is 4141415563. The next prime is 4141415567. The reversal of 4141415564 is 4655141414.

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

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 15 ways as a sum of consecutive naturals, for example, 90299 + ... + 128205.

It is an arithmetic number, because the mean of its divisors is an integer number (178319232).

Almost surely, 2^4141415564 is an apocalyptic number.

4141415564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4141415564 is an abundant number, since it is smaller than the sum of its proper divisors (4417907572).

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

4141415564 is a wasteful number, since it uses less digits than its factorization.

4141415564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38126 (or 38124 counting only the distinct ones).

The product of its digits is 38400, while the sum is 35.

The square root of 4141415564 is about 64353.8309970743. The cubic root of 4141415564 is about 1605.8917627231.

Adding to 4141415564 its reverse (4655141414), we get a palindrome (8796556978).

The spelling of 4141415564 in words is "four billion, one hundred forty-one million, four hundred fifteen thousand, five hundred sixty-four".