4105167090144 has 24 divisors (see below), whose sum is σ = 10776063611880. Its totient is φ = 1368389030016.

The previous prime is 4105167090107. The next prime is 4105167090151. The reversal of 4105167090144 is 4410907615014.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 4105167090096 and 4105167090105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21381078499 + ... + 21381078690.

It is an arithmetic number, because the mean of its divisors is an integer number (449002650495).

Almost surely, 2^{4105167090144} is an apocalyptic number.

It is an amenable number.

4105167090144 is an abundant number, since it is smaller than the sum of its proper divisors (6670896521736).

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

4105167090144 is a wasteful number, since it uses less digits than its factorization.

4105167090144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42762157202 (or 42762157194 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 4105167090144 in words is "four trillion, one hundred five billion, one hundred sixty-seven million, ninety thousand, one hundred forty-four".