4135043331405 has 128 divisors (see below), whose sum is σ = 8461633228800. Its totient is φ = 1876792280832.

The previous prime is 4135043331401. The next prime is 4135043331413. The reversal of 4135043331405 is 5041333405314.

4135043331405 is a `hidden beast` number, since 4 + 1 + 3 + 504 + 3 + 3 + 3 + 140 + 5 = 666.

It is not a de Polignac number, because 4135043331405 - 2² = 4135043331401 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4135043331405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4135043331401) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 74051586 + ... + 74107404.

It is an arithmetic number, because the mean of its divisors is an integer number (66106509600).

Almost surely, 2^{4135043331405} is an apocalyptic number.

4135043331405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4135043331405 is an abundant number, since it is smaller than the sum of its proper divisors (4326589897395).

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

4135043331405 is a wasteful number, since it uses less digits than its factorization.

4135043331405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56400 (or 56394 counting only the distinct ones).

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

Adding to 4135043331405 its reverse (5041333405314), we get a palindrome (9176376736719).

The spelling of 4135043331405 in words is "four trillion, one hundred thirty-five billion, forty-three million, three hundred thirty-one thousand, four hundred five".