34141130401 has 16 divisors (see below), whose sum is σ = 39241984000. Its totient is φ = 29096606160.

The previous prime is 34141130371. The next prime is 34141130417. The reversal of 34141130401 is 10403114143.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 34141130401 - 2¹⁹ = 34140606113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34141130461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 928570 + ... + 964636.

It is an arithmetic number, because the mean of its divisors is an integer number (2452624000).

Almost surely, 2^34141130401 is an apocalyptic number.

It is an amenable number.

34141130401 is a deficient number, since it is larger than the sum of its proper divisors (5100853599).

34141130401 is a wasteful number, since it uses less digits than its factorization.

34141130401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36844.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 34141130401 its reverse (10403114143), we get a palindrome (44544244544).

The spelling of 34141130401 in words is "thirty-four billion, one hundred forty-one million, one hundred thirty thousand, four hundred one".