4189714323984 has 160 divisors (see below), whose sum is σ = 13801545216000. Its totient is φ = 1192052405376.

The previous prime is 4189714323941. The next prime is 4189714324001. The reversal of 4189714323984 is 4893234179814.

4189714323984 is a `hidden beast` number, since 4 + 1 + 8 + 97 + 1 + 432 + 39 + 84 = 666.

It is a super-2 number, since 2×4189714323984² (a number of 26 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2175774 + ... + 3621245.

It is an arithmetic number, because the mean of its divisors is an integer number (86259657600).

Almost surely, 2^{4189714323984} is an apocalyptic number.

It is an amenable number.

4189714323984 is an abundant number, since it is smaller than the sum of its proper divisors (9611830892016).

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

4189714323984 is a wasteful number, since it uses less digits than its factorization.

4189714323984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5797282 (or 5797270 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 4189714323984 in words is "four trillion, one hundred eighty-nine billion, seven hundred fourteen million, three hundred twenty-three thousand, nine hundred eighty-four".