4164004160444 has 24 divisors (see below), whose sum is σ = 7484751981168. Its totient is φ = 2025775877760.

The previous prime is 4164004160441. The next prime is 4164004160453. The reversal of 4164004160444 is 4440614004614.

It is a junction number, because it is equal to n+sod(n) for n = 4164004160398 and 4164004160407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4164004160441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33974042 + ... + 34096385.

It is an arithmetic number, because the mean of its divisors is an integer number (311864665882).

Almost surely, 2^{4164004160444} is an apocalyptic number.

It is an amenable number.

4164004160444 is a deficient number, since it is larger than the sum of its proper divisors (3320747820724).

4164004160444 is a wasteful number, since it uses less digits than its factorization.

4164004160444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68070845 (or 68070843 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

The spelling of 4164004160444 in words is "four trillion, one hundred sixty-four billion, four million, one hundred sixty thousand, four hundred forty-four".