4072951935121 has 8 divisors (see below), whose sum is σ = 4120499413800. Its totient is φ = 4025444100480.

The previous prime is 4072951935119. The next prime is 4072951935191. The reversal of 4072951935121 is 1215391592704.

4072951935121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 641432801025 + 3431519134096 = 800895^2 + 1852436^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4072951935121 - 2¹ = 4072951935119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4072951935191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9704310 + ... + 10115311.

It is an arithmetic number, because the mean of its divisors is an integer number (515062426725).

Almost surely, 2^{4072951935121} is an apocalyptic number.

It is an amenable number.

4072951935121 is a deficient number, since it is larger than the sum of its proper divisors (47547478679).

4072951935121 is a wasteful number, since it uses less digits than its factorization.

4072951935121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19822019.

The product of its (nonzero) digits is 680400, while the sum is 49.

The spelling of 4072951935121 in words is "four trillion, seventy-two billion, nine hundred fifty-one million, nine hundred thirty-five thousand, one hundred twenty-one".