34102404413 has 36 divisors (see below), whose sum is σ = 46169472636. Its totient is φ = 25010092800.

The previous prime is 34102404389. The next prime is 34102404491. The reversal of 34102404413 is 31440420143.

It can be written as a sum of positive squares in 2 ways, for example, as 14913782884 + 19188621529 = 122122^2 + 138523^2 .

It is not a de Polignac number, because 34102404413 - 2⁸ = 34102404157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34102404613) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 68378 + ... + 269963.

It is an arithmetic number, because the mean of its divisors is an integer number (1282485351).

Almost surely, 2^34102404413 is an apocalyptic number.

It is an amenable number.

34102404413 is a deficient number, since it is larger than the sum of its proper divisors (12067068223).

34102404413 is a wasteful number, since it uses less digits than its factorization.

34102404413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338394 (or 338376 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 34102404413 its reverse (31440420143), we get a palindrome (65542824556).

The spelling of 34102404413 in words is "thirty-four billion, one hundred two million, four hundred four thousand, four hundred thirteen".