4040381106667 has 16 divisors (see below), whose sum is σ = 4414728153600. Its totient is φ = 3684873803040.

The previous prime is 4040381106659. The next prime is 4040381106701. The reversal of 4040381106667 is 7666011830404.

It is a cyclic number.

It is not a de Polignac number, because 4040381106667 - 2³ = 4040381106659 is a prime.

It is a super-2 number, since 2×4040381106667² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4040381106767) 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, 37031617 + ... + 37140562.

It is an arithmetic number, because the mean of its divisors is an integer number (275920509600).

Almost surely, 2^{4040381106667} is an apocalyptic number.

4040381106667 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

4040381106667 is a deficient number, since it is larger than the sum of its proper divisors (374347046933).

4040381106667 is a wasteful number, since it uses less digits than its factorization.

4040381106667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74172306.

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 4040381106667 in words is "four trillion, forty billion, three hundred eighty-one million, one hundred six thousand, six hundred sixty-seven".