729041128299001 has 24 divisors (see below), whose sum is σ = 861976853662536. Its totient is φ = 614644090744320.

The previous prime is 729041128298999. The next prime is 729041128299017. The reversal of 729041128299001 is 100992821140927.

It can be written as a sum of positive squares in 4 ways, for example, as 27360232951401 + 701680895347600 = 5230701^2 + 26489260^2 .

It is not a de Polignac number, because 729041128299001 - 2¹ = 729041128298999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (729041128299041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 488545335 + ... + 490035331.

It is an arithmetic number, because the mean of its divisors is an integer number (35915702235939).

Almost surely, 2^{729041128299001} is an apocalyptic number.

It is an amenable number.

729041128299001 is a deficient number, since it is larger than the sum of its proper divisors (132935725363535).

729041128299001 is a wasteful number, since it uses less digits than its factorization.

729041128299001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653769 (or 1653762 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 55.

The spelling of 729041128299001 in words is "seven hundred twenty-nine trillion, forty-one billion, one hundred twenty-eight million, two hundred ninety-nine thousand, one".