434212314041 has 12 divisors (see below), whose sum is σ = 479911593252. Its totient is φ = 392557572000.

The previous prime is 434212313993. The next prime is 434212314047. The reversal of 434212314041 is 140413212434.

It can be written as a sum of positive squares in 2 ways, for example, as 188217145600 + 245995168441 = 433840^2 + 495979^2 .

It is not a de Polignac number, because 434212314041 - 2³⁸ = 159334407097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 434212313995 and 434212314013.

It is not an unprimeable number, because it can be changed into a prime (434212314047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9891170 + ... + 9934971.

It is an arithmetic number, because the mean of its divisors is an integer number (39992632771).

Almost surely, 2^434212314041 is an apocalyptic number.

It is an amenable number.

434212314041 is a deficient number, since it is larger than the sum of its proper divisors (45699279211).

434212314041 is a wasteful number, since it uses less digits than its factorization.

434212314041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19826344 (or 19826333 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 434212314041 its reverse (140413212434), we get a palindrome (574625526475).

The spelling of 434212314041 in words is "four hundred thirty-four billion, two hundred twelve million, three hundred fourteen thousand, forty-one".