4013120267717 has 128 divisors (see below), whose sum is σ = 5061935628288. Its totient is φ = 3137555635200.

The previous prime is 4013120267711. The next prime is 4013120267719. The reversal of 4013120267717 is 7177620213104.

It is a happy number.

4013120267717 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 4013120267717 - 2⁴ = 4013120267701 is a prime.

It is a super-2 number, since 2×4013120267717² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013120267711) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 972404108 + ... + 972408234.

It is an arithmetic number, because the mean of its divisors is an integer number (39546372096).

Almost surely, 2^{4013120267717} is an apocalyptic number.

4013120267717 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

4013120267717 is a deficient number, since it is larger than the sum of its proper divisors (1048815360571).

4013120267717 is a wasteful number, since it uses less digits than its factorization.

4013120267717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4359.

The product of its (nonzero) digits is 98784, while the sum is 41.

The spelling of 4013120267717 in words is "four trillion, thirteen billion, one hundred twenty million, two hundred sixty-seven thousand, seven hundred seventeen".