4105163642112 has 864 divisors, whose sum is σ = 13881381225600. Its totient is φ = 1189252399104.

The previous prime is 4105163642081. The next prime is 4105163642143. The reversal of 4105163642112 is 2112463615014.

4105163642112 is a `hidden beast` number, since 4 + 1 + 0 + 5 + 1 + 6 + 3 + 642 + 1 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4105163642081) and next prime (4105163642143).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3184765564 + ... + 3184766852.

Almost surely, 2^{4105163642112} 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 4105163642112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6940690612800).

4105163642112 is an abundant number, since it is smaller than the sum of its proper divisors (9776217583488).

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

4105163642112 is a wasteful number, since it uses less digits than its factorization.

4105163642112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 4105163642112 in words is "four trillion, one hundred five billion, one hundred sixty-three million, six hundred forty-two thousand, one hundred twelve".