4005874488168 has 128 divisors (see below), whose sum is σ = 12748156896000. Its totient is φ = 1141737016320.

The previous prime is 4005874488167. The next prime is 4005874488193. The reversal of 4005874488168 is 8618844785004.

4005874488168 is a `hidden beast` number, since 4 + 0 + 0 + 58 + 7 + 448 + 81 + 68 = 666.

4005874488168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4005874488167) 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, 2620453 + ... + 3857268.

It is an arithmetic number, because the mean of its divisors is an integer number (99594975750).

Almost surely, 2^{4005874488168} is an apocalyptic number.

It is an amenable number.

4005874488168 is an abundant number, since it is smaller than the sum of its proper divisors (8742282407832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4005874488168 is a wasteful number, since it uses less digits than its factorization.

4005874488168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6478152 (or 6478142 counting only the distinct ones).

The product of its (nonzero) digits is 55050240, while the sum is 63.

The spelling of 4005874488168 in words is "four trillion, five billion, eight hundred seventy-four million, four hundred eighty-eight thousand, one hundred sixty-eight".