34043410401 has 256 divisors, whose sum is σ = 67513098240. Its totient is φ = 14671134720.

The previous prime is 34043410391. The next prime is 34043410409. The reversal of 34043410401 is 10401434043.

It is not a de Polignac number, because 34043410401 - 2¹⁰ = 34043409377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34043410409) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 126555295 + ... + 126555563.

It is an arithmetic number, because the mean of its divisors is an integer number (263723040).

Almost surely, 2^34043410401 is an apocalyptic number.

It is an amenable number.

34043410401 is a deficient number, since it is larger than the sum of its proper divisors (33469687839).

34043410401 is a wasteful number, since it uses less digits than its factorization.

34043410401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 34043410401 its reverse (10401434043), we get a palindrome (44444844444).

It can be divided in two parts, 34043 and 410401, that added together give a palindrome (444444).

The spelling of 34043410401 in words is "thirty-four billion, forty-three million, four hundred ten thousand, four hundred one".