4101110516560 has 20 divisors (see below), whose sum is σ = 9535081951188. Its totient is φ = 1640444206592.

The previous prime is 4101110516509. The next prime is 4101110516567. The reversal of 4101110516560 is 656150111014.

It can be written as a sum of positive squares in 2 ways, for example, as 1001848853776 + 3099261662784 = 1000924^2 + 1760472^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4101110516567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25631940649 + ... + 25631940808.

Almost surely, 2^{4101110516560} is an apocalyptic number.

4101110516560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4101110516560 is an abundant number, since it is smaller than the sum of its proper divisors (5433971434628).

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

4101110516560 is a wasteful number, since it uses less digits than its factorization.

4101110516560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51263881470 (or 51263881464 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 31.

Adding to 4101110516560 its reverse (656150111014), we get a palindrome (4757260627574).

The spelling of 4101110516560 in words is "four trillion, one hundred one billion, one hundred ten million, five hundred sixteen thousand, five hundred sixty".