34540411340205 has 48 divisors (see below), whose sum is σ = 63448976550960. Its totient is φ = 17322297698304.

The previous prime is 34540411340143. The next prime is 34540411340221. The reversal of 34540411340205 is 50204311404543.

34540411340205 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 0 + 411 + 34 + 0 + 205 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2970183390084 + 31570227950121 = 1723422^2 + 5618739^2 .

It is not a de Polignac number, because 34540411340205 - 2²³ = 34540402951597 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34540411340205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19508182 + ... + 21204951.

It is an arithmetic number, because the mean of its divisors is an integer number (1321853678145).

Almost surely, 2^{34540411340205} is an apocalyptic number.

It is an amenable number.

34540411340205 is a deficient number, since it is larger than the sum of its proper divisors (28908565210755).

34540411340205 is a wasteful number, since it uses less digits than its factorization.

34540411340205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40714270 (or 40714267 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 34540411340205 its reverse (50204311404543), we get a palindrome (84744722744748).

The spelling of 34540411340205 in words is "thirty-four trillion, five hundred forty billion, four hundred eleven million, three hundred forty thousand, two hundred five".