1729140841024 has 21 divisors (see below), whose sum is σ = 3431284731651. Its totient is φ = 864565160640.

The previous prime is 1729140840967. The next prime is 1729140841027. The reversal of 1729140841024 is 4201480419271.

The square root of 1729140841024 is 1314968.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1729140841027) 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 2 ways as a sum of consecutive naturals, for example, 10437559 + ... + 10601929.

It is an arithmetic number, because the mean of its divisors is an integer number (163394511031).

Almost surely, 2^{1729140841024} is an apocalyptic number.

1729140841024 is the 1314968-th square number.

It is an amenable number.

1729140841024 is a deficient number, since it is larger than the sum of its proper divisors (1702143890627).

1729140841024 is an frugal number, since it uses more digits than its factorization.

1729140841024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328754 (or 164373 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The spelling of 1729140841024 in words is "one trillion, seven hundred twenty-nine billion, one hundred forty million, eight hundred forty-one thousand, twenty-four".