4334135213205 has 96 divisors (see below), whose sum is σ = 8979684641280. Its totient is φ = 1977654994560.

The previous prime is 4334135213183. The next prime is 4334135213249. The reversal of 4334135213205 is 5023125314334.

4334135213205 is a `hidden beast` number, since 4 + 3 + 3 + 413 + 5 + 213 + 20 + 5 = 666.

It is not a de Polignac number, because 4334135213205 - 2⁸ = 4334135212949 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4334135213205.

It is a congruent number.

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, 2973172 + ... + 4184258.

It is an arithmetic number, because the mean of its divisors is an integer number (93538381680).

Almost surely, 2^{4334135213205} is an apocalyptic number.

4334135213205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4334135213205 is an abundant number, since it is smaller than the sum of its proper divisors (4645549428075).

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

4334135213205 is a wasteful number, since it uses less digits than its factorization.

4334135213205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211656 (or 1211643 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 4334135213205 in words is "four trillion, three hundred thirty-four billion, one hundred thirty-five million, two hundred thirteen thousand, two hundred five".