4101110516556 has 36 divisors (see below), whose sum is σ = 10912311610200. Its totient is φ = 1295087531328.

The previous prime is 4101110516509. The next prime is 4101110516567. The reversal of 4101110516556 is 6556150111014.

4101110516556 is a `hidden beast` number, since 41 + 0 + 1 + 1 + 10 + 51 + 6 + 556 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×4101110516556² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4101110516556.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2997887121 + ... + 2997888488.

It is an arithmetic number, because the mean of its divisors is an integer number (303119766950).

Almost surely, 2^{4101110516556} is an apocalyptic number.

It is an amenable number.

4101110516556 is an abundant number, since it is smaller than the sum of its proper divisors (6811201093644).

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

4101110516556 is a wasteful number, since it uses less digits than its factorization.

4101110516556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5995775638 (or 5995775633 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 36.

The spelling of 4101110516556 in words is "four trillion, one hundred one billion, one hundred ten million, five hundred sixteen thousand, five hundred fifty-six".