34001441300205 has 48 divisors (see below), whose sum is σ = 62408610411264. Its totient is φ = 17065758635520.

The previous prime is 34001441300143. The next prime is 34001441300209. The reversal of 34001441300205 is 50200314410043.

It is a happy number.

34001441300205 is a `hidden beast` number, since 3 + 40 + 0 + 1 + 4 + 413 + 0 + 0 + 205 = 666.

It is not a de Polignac number, because 34001441300205 - 2⁸ = 34001441299949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34001441300209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5903440 + ... + 10141670.

It is an arithmetic number, because the mean of its divisors is an integer number (1300179383568).

Almost surely, 2^{34001441300205} is an apocalyptic number.

It is an amenable number.

34001441300205 is a deficient number, since it is larger than the sum of its proper divisors (28407169111059).

34001441300205 is a wasteful number, since it uses less digits than its factorization.

34001441300205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4248746 (or 4248743 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 34001441300205 its reverse (50200314410043), we get a palindrome (84201755710248).

The spelling of 34001441300205 in words is "thirty-four trillion, one billion, four hundred forty-one million, three hundred thousand, two hundred five".