10741042321 has 9 divisors (see below), whose sum is σ = 10926442683. Its totient is φ = 10558741320.

The previous prime is 10741042267. The next prime is 10741042337. The reversal of 10741042321 is 12324014701.

The square root of 10741042321 is 103639.

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., 349278721 + 10391763600 = 18689^2 + 101940^2 .

It is not a de Polignac number, because 10741042321 - 2¹⁷ = 10740911249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10741042421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6321130 + ... + 6322828.

It is an arithmetic number, because the mean of its divisors is an integer number (1214049187).

Almost surely, 2^10741042321 is an apocalyptic number.

10741042321 is the 103639-th square number.

10741042321 is the 51820-th centered octagonal number.

It is an amenable number.

10741042321 is a deficient number, since it is larger than the sum of its proper divisors (185400362).

10741042321 is an frugal number, since it uses more digits than its factorization.

10741042321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3520 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

Multiplying 10741042321 by its sum of digits (25), we get a square (268526058025 = 518195²).

The spelling of 10741042321 in words is "ten billion, seven hundred forty-one million, forty-two thousand, three hundred twenty-one".