4334412135105 has 96 divisors (see below), whose sum is σ = 8184785525280. Its totient is φ = 2109121597440.

The previous prime is 4334412135091. The next prime is 4334412135127. The reversal of 4334412135105 is 5015312144334.

4334412135105 is a `hidden beast` number, since 4 + 3 + 3 + 4 + 412 + 135 + 105 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1047707827776 + 3286704307329 = 1023576^2 + 1812927^2 .

It is not a de Polignac number, because 4334412135105 - 2¹⁰ = 4334412134081 is a prime.

It is a super-2 number, since 2×4334412135105² (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 4334412135105.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159357367 + ... + 159384563.

It is an arithmetic number, because the mean of its divisors is an integer number (85258182555).

Almost surely, 2^{4334412135105} is an apocalyptic number.

4334412135105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4334412135105 is a deficient number, since it is larger than the sum of its proper divisors (3850373390175).

4334412135105 is a wasteful number, since it uses less digits than its factorization.

4334412135105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30371 (or 30368 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 4334412135105 its reverse (5015312144334), we get a palindrome (9349724279439).

The spelling of 4334412135105 in words is "four trillion, three hundred thirty-four billion, four hundred twelve million, one hundred thirty-five thousand, one hundred five".