4101912305568 has 1152 divisors, whose sum is σ = 15431707146240. Its totient is φ = 1048101949440.

The previous prime is 4101912305539. The next prime is 4101912305599. The reversal of 4101912305568 is 8655032191014.

It is a happy number.

4101912305568 is a `hidden beast` number, since 4 + 1 + 0 + 1 + 91 + 2 + 3 + 0 + 556 + 8 = 666.

4101912305568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13105150980 + ... + 13105151292.

It is an arithmetic number, because the mean of its divisors is an integer number (13395579120).

Almost surely, 2^{4101912305568} is an apocalyptic number.

4101912305568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4101912305568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7715853573120).

4101912305568 is an abundant number, since it is smaller than the sum of its proper divisors (11329794840672).

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

4101912305568 is a wasteful number, since it uses less digits than its factorization.

4101912305568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 4101912305568 in words is "four trillion, one hundred one billion, nine hundred twelve million, three hundred five thousand, five hundred sixty-eight".