4117851070872 has 768 divisors, whose sum is σ = 13714425446400. Its totient is φ = 1007097062400.

The previous prime is 4117851070849. The next prime is 4117851070891. The reversal of 4117851070872 is 2780701587114.

4117851070872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 4642447213 + ... + 4642448099.

It is an arithmetic number, because the mean of its divisors is an integer number (17857324800).

Almost surely, 2^{4117851070872} is an apocalyptic number.

4117851070872 is a gapful number since it is divisible by the number (42) 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 4117851070872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6857212723200).

4117851070872 is an abundant number, since it is smaller than the sum of its proper divisors (9596574375528).

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

4117851070872 is a wasteful number, since it uses less digits than its factorization.

4117851070872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 878080, while the sum is 51.

The spelling of 4117851070872 in words is "four trillion, one hundred seventeen billion, eight hundred fifty-one million, seventy thousand, eight hundred seventy-two".