4000884340617 has 24 divisors (see below), whose sum is σ = 5876567966880. Its totient is φ = 2622403143360.

The previous prime is 4000884340571. The next prime is 4000884340631. The reversal of 4000884340617 is 7160434880004.

4000884340617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4000884340617 - 2¹⁶ = 4000884275081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4000884340637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6053367 + ... + 6681692.

It is an arithmetic number, because the mean of its divisors is an integer number (244856998620).

Almost surely, 2^{4000884340617} is an apocalyptic number.

It is an amenable number.

4000884340617 is a deficient number, since it is larger than the sum of its proper divisors (1875683626263).

4000884340617 is a wasteful number, since it uses less digits than its factorization.

4000884340617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12735653 (or 12735650 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 4000884340617 in words is "four trillion, eight hundred eighty-four million, three hundred forty thousand, six hundred seventeen".