10459357441 has 9 divisors (see below), whose sum is σ = 11327252931. Its totient is φ = 9653564232.

The previous prime is 10459357429. The next prime is 10459357477. The reversal of 10459357441 is 14475395401.

It is a happy number.

The square root of 10459357441 is 102271.

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., 1547242225 + 8912115216 = 39335^2 + 94404^2 .

It is not a de Polignac number, because 10459357441 - 2¹⁹ = 10458833153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10459357421) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1325590 + ... + 1333456.

It is an arithmetic number, because the mean of its divisors is an integer number (1258583659).

Almost surely, 2^10459357441 is an apocalyptic number.

10459357441 is the 102271-st square number.

10459357441 is the 51136-th centered octagonal number.

It is an amenable number.

10459357441 is a deficient number, since it is larger than the sum of its proper divisors (867895490).

10459357441 is an frugal number, since it uses more digits than its factorization.

10459357441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15760 (or 7880 counting only the distinct ones).

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

The spelling of 10459357441 in words is "ten billion, four hundred fifty-nine million, three hundred fifty-seven thousand, four hundred forty-one".