434234130034041 has 96 divisors (see below), whose sum is σ = 652892752512000. Its totient is φ = 277773663928320.

The previous prime is 434234130033967. The next prime is 434234130034057. The reversal of 434234130034041 is 140430031432434.

434234130034041 is a `hidden beast` number, since 4 + 3 + 4 + 2 + 3 + 4 + 1 + 300 + 340 + 4 + 1 = 666.

It is not a de Polignac number, because 434234130034041 - 2¹⁰ = 434234130033017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 434234130033987 and 434234130034005.

It is not an unprimeable number, because it can be changed into a prime (434234130034741) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85462333621 + ... + 85462338701.

It is an arithmetic number, because the mean of its divisors is an integer number (6800966172000).

Almost surely, 2^{434234130034041} is an apocalyptic number.

It is an amenable number.

434234130034041 is a deficient number, since it is larger than the sum of its proper divisors (218658622477959).

434234130034041 is a wasteful number, since it uses less digits than its factorization.

434234130034041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8079 (or 8076 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 434234130034041 its reverse (140430031432434), we get a palindrome (574664161466475).

The spelling of 434234130034041 in words is "four hundred thirty-four trillion, two hundred thirty-four billion, one hundred thirty million, thirty-four thousand, forty-one".