4105181805120 has 1792 divisors, whose sum is σ = 17612660736000. Its totient is φ = 889026969600.

The previous prime is 4105181805077. The next prime is 4105181805133. The reversal of 4105181805120 is 215081815014.

4105181805120 is a `hidden beast` number, since 4 + 1 + 0 + 518 + 18 + 0 + 5 + 120 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1965141036 + ... + 1965143124.

Almost surely, 2^{4105181805120} is an apocalyptic number.

4105181805120 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 4105181805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8806330368000).

4105181805120 is an abundant number, since it is smaller than the sum of its proper divisors (13507478930880).

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

4105181805120 is a wasteful number, since it uses less digits than its factorization.

4105181805120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 36.

The spelling of 4105181805120 in words is "four trillion, one hundred five billion, one hundred eighty-one million, eight hundred five thousand, one hundred twenty".