434134131201 has 12 divisors (see below), whose sum is σ = 629314248420. Its totient is φ = 288392778240.

The previous prime is 434134131199. The next prime is 434134131217. The reversal of 434134131201 is 102131431434.

434134131201 is a `hidden beast` number, since 4 + 3 + 4 + 1 + 341 + 312 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 184319096976 + 249815034225 = 429324^2 + 499815^2 .

It is not a de Polignac number, because 434134131201 - 2¹ = 434134131199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (434134151201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85828656 + ... + 85833713.

It is an arithmetic number, because the mean of its divisors is an integer number (52442854035).

Almost surely, 2^434134131201 is an apocalyptic number.

It is an amenable number.

434134131201 is a deficient number, since it is larger than the sum of its proper divisors (195180117219).

434134131201 is a wasteful number, since it uses less digits than its factorization.

434134131201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171662656 (or 171662653 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 434134131201 its reverse (102131431434), we get a palindrome (536265562635).

The spelling of 434134131201 in words is "four hundred thirty-four billion, one hundred thirty-four million, one hundred thirty-one thousand, two hundred one".