4101103806756 has 192 divisors, whose sum is σ = 10754224588800. Its totient is φ = 1205615692800.

The previous prime is 4101103806721. The next prime is 4101103806847. The reversal of 4101103806756 is 6576083011014.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 724701855 + ... + 724707513.

It is an arithmetic number, because the mean of its divisors is an integer number (56011586400).

Almost surely, 2^{4101103806756} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4101103806756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5377112294400).

4101103806756 is an abundant number, since it is smaller than the sum of its proper divisors (6653120782044).

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

4101103806756 is a wasteful number, since it uses less digits than its factorization.

4101103806756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6450 (or 6448 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 4101103806756 in words is "four trillion, one hundred one billion, one hundred three million, eight hundred six thousand, seven hundred fifty-six".