431555711041 has 27 divisors (see below), whose sum is σ = 543676039011. Its totient is φ = 341403373584.

The previous prime is 431555711029. The next prime is 431555711051. The reversal of 431555711041 is 140117555134.

The square root of 431555711041 is 656929.

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

It can be written as a sum of positive squares in only one way, i.e., 63839602225 + 367716108816 = 252665^2 + 606396^2 .

It is not a de Polignac number, because 431555711041 - 2⁹ = 431555710529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (431555711011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 59776930 + ... + 59784148.

It is an arithmetic number, because the mean of its divisors is an integer number (20136149593).

Almost surely, 2^431555711041 is an apocalyptic number.

431555711041 is the 656929-th square number.

431555711041 is the 328465-th centered octagonal number.

It is an amenable number.

431555711041 is a deficient number, since it is larger than the sum of its proper divisors (112120327970).

431555711041 is an frugal number, since it uses more digits than its factorization.

431555711041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14478 (or 7239 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 37.

The spelling of 431555711041 in words is "four hundred thirty-one billion, five hundred fifty-five million, seven hundred eleven thousand, forty-one".