724505690041 has 45 divisors (see below), whose sum is σ = 876820197071. Its totient is φ = 598589929392.

The previous prime is 724505690017. The next prime is 724505690057. The reversal of 724505690041 is 140096505427.

The square root of 724505690041 is 851179.

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., 379913209641 + 344592480400 = 616371^2 + 587020^2 .

It is not a de Polignac number, because 724505690041 - 2³¹ = 722358206393 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 724505690041.

It is not an unprimeable number, because it can be changed into a prime (724505190041) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1209525060 + ... + 1209525658.

Almost surely, 2^724505690041 is an apocalyptic number.

724505690041 is the 851179-th square number.

724505690041 is the 425590-th centered octagonal number.

It is an amenable number.

724505690041 is a deficient number, since it is larger than the sum of its proper divisors (152314507030).

724505690041 is an frugal number, since it uses more digits than its factorization.

724505690041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 43.

The spelling of 724505690041 in words is "seven hundred twenty-four billion, five hundred five million, six hundred ninety thousand, forty-one".