4017868104160 has 192 divisors, whose sum is σ = 9831178526400. Its totient is φ = 1550699200512.

The previous prime is 4017868104139. The next prime is 4017868104163. The reversal of 4017868104160 is 614018687104.

It is a super-2 number, since 2×4017868104160² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4017868104160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4017868104163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 862756552 + ... + 862761208.

It is an arithmetic number, because the mean of its divisors is an integer number (51204054825).

Almost surely, 2^{4017868104160} is an apocalyptic number.

4017868104160 is a gapful number since it is divisible by the number (40) 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 4017868104160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4915589263200).

4017868104160 is an abundant number, since it is smaller than the sum of its proper divisors (5813310422240).

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

4017868104160 is a wasteful number, since it uses less digits than its factorization.

4017868104160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6213 (or 6205 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 46.

The spelling of 4017868104160 in words is "four trillion, seventeen billion, eight hundred sixty-eight million, one hundred four thousand, one hundred sixty".