4004165336601 has 32 divisors (see below), whose sum is σ = 5612287098880. Its totient is φ = 2536175323584.

The previous prime is 4004165336573. The next prime is 4004165336603. The reversal of 4004165336601 is 1066335614004.

4004165336601 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 4004165336601 - 2¹¹ = 4004165334553 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4004165336601.

It is not an unprimeable number, because it can be changed into a prime (4004165336603) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16984590 + ... + 17218728.

It is an arithmetic number, because the mean of its divisors is an integer number (175383971840).

Almost surely, 2^{4004165336601} is an apocalyptic number.

It is an amenable number.

4004165336601 is a deficient number, since it is larger than the sum of its proper divisors (1608121762279).

4004165336601 is a wasteful number, since it uses less digits than its factorization.

4004165336601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237805.

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 4004165336601 in words is "four trillion, four billion, one hundred sixty-five million, three hundred thirty-six thousand, six hundred one".