4105405122 has 144 divisors (see below), whose sum is σ = 10544489280. Its totient is φ = 1061633664.

The previous prime is 4105405111. The next prime is 4105405127. The reversal of 4105405122 is 2215045014.

It is a junction number, because it is equal to n+sod(n) for n = 4105405092 and 4105405101.

It is not an unprimeable number, because it can be changed into a prime (4105405127) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2632579 + ... + 2634137.

It is an arithmetic number, because the mean of its divisors is an integer number (73225620).

Almost surely, 2^4105405122 is an apocalyptic number.

4105405122 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4105405122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5272244640).

4105405122 is an abundant number, since it is smaller than the sum of its proper divisors (6439084158).

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

4105405122 is a wasteful number, since it uses less digits than its factorization.

4105405122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 4105405122 is about 64073.4353847209. The cubic root of 4105405122 is about 1601.2236891374.

The spelling of 4105405122 in words is "four billion, one hundred five million, four hundred five thousand, one hundred twenty-two".