4079856589704 has 96 divisors (see below), whose sum is σ = 12628437606720. Its totient is φ = 1165644690048.

The previous prime is 4079856589687. The next prime is 4079856589709.

4079856589704 is a `hidden beast` number, since 407 + 9 + 85 + 6 + 58 + 97 + 0 + 4 = 666.

4079856589704 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (4079856589709) 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 23 ways as a sum of consecutive naturals, for example, 28744399 + ... + 28885985.

It is an arithmetic number, because the mean of its divisors is an integer number (131546225070).

Almost surely, 2^{4079856589704} is an apocalyptic number.

It is an amenable number.

4079856589704 is an abundant number, since it is smaller than the sum of its proper divisors (8548581017016).

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

4079856589704 is a wasteful number, since it uses less digits than its factorization.

4079856589704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198779 (or 198772 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 4079856589704 in words is "four trillion, seventy-nine billion, eight hundred fifty-six million, five hundred eighty-nine thousand, seven hundred four".