434045110041 has 9 divisors (see below), whose sum is σ = 626956902741. Its totient is φ = 289362089052.

The previous prime is 434045110033. The next prime is 434045110073. The reversal of 434045110041 is 140011540434.

The square root of 434045110041 is 658821.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 434045110041 - 2³ = 434045110033 is a prime.

It is a super-3 number, since 3×434045110041³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 434045109987 and 434045110014.

It is not an unprimeable number, because it can be changed into a prime (434045110001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1866660 + ... + 2086266.

Almost surely, 2^434045110041 is an apocalyptic number.

434045110041 is the 658821-st square number.

434045110041 is the 329411-st centered octagonal number.

It is an amenable number.

434045110041 is a deficient number, since it is larger than the sum of its proper divisors (192911792700).

434045110041 is an frugal number, since it uses more digits than its factorization.

434045110041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439220 (or 219610 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 434045110041 its reverse (140011540434), we get a palindrome (574056650475).

The spelling of 434045110041 in words is "four hundred thirty-four billion, forty-five million, one hundred ten thousand, forty-one".