4417915138561 has 8 divisors (see below), whose sum is σ = 4537351733544. Its totient is φ = 4298480305920.

The previous prime is 4417915138537. The next prime is 4417915138579. The reversal of 4417915138561 is 1658315197144.

4417915138561 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2479538369025 + 1938376769536 = 1574655^2 + 1392256^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 4417915138561 - 2²³ = 4417906749953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4417915138061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5831721 + ... + 6545593.

It is an arithmetic number, because the mean of its divisors is an integer number (567168966693).

Almost surely, 2^{4417915138561} is an apocalyptic number.

It is an amenable number.

4417915138561 is a deficient number, since it is larger than the sum of its proper divisors (119436594983).

4417915138561 is a wasteful number, since it uses less digits than its factorization.

4417915138561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881171.

The product of its digits is 3628800, while the sum is 55.

The spelling of 4417915138561 in words is "four trillion, four hundred seventeen billion, nine hundred fifteen million, one hundred thirty-eight thousand, five hundred sixty-one".