5340444105105 has 192 divisors, whose sum is σ = 9999752555520. Its totient is φ = 2731902142464.

The previous prime is 5340444105083. The next prime is 5340444105107. The reversal of 5340444105105 is 5015014440435.

5340444105105 is a `hidden beast` number, since 5 + 3 + 4 + 0 + 444 + 105 + 105 = 666.

It is not a de Polignac number, because 5340444105105 - 2⁶ = 5340444105041 is a prime.

It is a super-2 number, since 2×5340444105105² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5340444105105.

It is not an unprimeable number, because it can be changed into a prime (5340444105107) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1468363347 + ... + 1468366983.

It is an arithmetic number, because the mean of its divisors is an integer number (52082044560).

Almost surely, 2^{5340444105105} is an apocalyptic number.

It is an amenable number.

5340444105105 is a deficient number, since it is larger than the sum of its proper divisors (4659308450415).

5340444105105 is a wasteful number, since it uses less digits than its factorization.

5340444105105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4150 (or 4138 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 5340444105105 in words is "five trillion, three hundred forty billion, four hundred forty-four million, one hundred five thousand, one hundred five".