729440505213933 has 16 divisors (see below), whose sum is σ = 978815645976960. Its totient is φ = 483186039086016.

The previous prime is 729440505213929. The next prime is 729440505213971. The reversal of 729440505213933 is 339312505044927.

It is a happy number.

It is not a de Polignac number, because 729440505213933 - 2² = 729440505213929 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729440505214933) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 814775793 + ... + 815670566.

It is an arithmetic number, because the mean of its divisors is an integer number (61175977873560).

Almost surely, 2^{729440505213933} is an apocalyptic number.

It is an amenable number.

729440505213933 is a deficient number, since it is larger than the sum of its proper divisors (249375140763027).

729440505213933 is a wasteful number, since it uses less digits than its factorization.

729440505213933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630447316.

The product of its (nonzero) digits is 24494400, while the sum is 57.

The spelling of 729440505213933 in words is "seven hundred twenty-nine trillion, four hundred forty billion, five hundred five million, two hundred thirteen thousand, nine hundred thirty-three".