4005414115122 has 16 divisors (see below), whose sum is σ = 9155232263232. Its totient is φ = 1144404032880.

The previous prime is 4005414115111. The next prime is 4005414115141. The reversal of 4005414115122 is 2215114145004.

It is a self number, because there is not a number n which added to its sum of digits gives 4005414115122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47683501329 + ... + 47683501412.

It is an arithmetic number, because the mean of its divisors is an integer number (572202016452).

Almost surely, 2^{4005414115122} is an apocalyptic number.

4005414115122 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

4005414115122 is an abundant number, since it is smaller than the sum of its proper divisors (5149818148110).

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

4005414115122 is a wasteful number, since it uses less digits than its factorization.

4005414115122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95367002753.

The product of its (nonzero) digits is 6400, while the sum is 30.

The spelling of 4005414115122 in words is "four trillion, five billion, four hundred fourteen million, one hundred fifteen thousand, one hundred twenty-two".