4001167839279 has 16 divisors (see below), whose sum is σ = 5790504968192. Its totient is φ = 2442869277408.

The previous prime is 4001167839257. The next prime is 4001167839283. The reversal of 4001167839279 is 9729387611004.

It is a happy number.

It is not a de Polignac number, because 4001167839279 - 2²¹ = 4001165742127 is a prime.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001167839299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 403908619 + ... + 403918524.

It is an arithmetic number, because the mean of its divisors is an integer number (361906560512).

Almost surely, 2^{4001167839279} is an apocalyptic number.

4001167839279 is a deficient number, since it is larger than the sum of its proper divisors (1789337128913).

4001167839279 is a wasteful number, since it uses less digits than its factorization.

4001167839279 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807827286.

The product of its (nonzero) digits is 4572288, while the sum is 57.

The spelling of 4001167839279 in words is "four trillion, one billion, one hundred sixty-seven million, eight hundred thirty-nine thousand, two hundred seventy-nine".