4101334986168 has 128 divisors (see below), whose sum is σ = 13026413952000. Its totient is φ = 1171242737280.

The previous prime is 4101334985977. The next prime is 4101334986169. The reversal of 4101334986168 is 8616894331014.

4101334986168 is a `hidden beast` number, since 4 + 1 + 0 + 1 + 33 + 498 + 61 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4101334986169) 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, 2472813 + ... + 3783843.

It is an arithmetic number, because the mean of its divisors is an integer number (101768859000).

Almost surely, 2^{4101334986168} 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 4101334986168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6513206976000).

4101334986168 is an abundant number, since it is smaller than the sum of its proper divisors (8925078965832).

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

4101334986168 is a wasteful number, since it uses less digits than its factorization.

4101334986168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313122 (or 1313112 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 4101334986168 in words is "four trillion, one hundred one billion, three hundred thirty-four million, nine hundred eighty-six thousand, one hundred sixty-eight".