4079893104 has 320 divisors, whose sum is σ = 14920473600. Its totient is φ = 1039122432.

The previous prime is 4079893079. The next prime is 4079893177. The reversal of 4079893104 is 4013989704.

It is a self number, because there is not a number n which added to its sum of digits gives 4079893104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 974664 + ... + 978840.

It is an arithmetic number, because the mean of its divisors is an integer number (46626480).

Almost surely, 2^4079893104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4079893104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7460236800).

4079893104 is an abundant number, since it is smaller than the sum of its proper divisors (10840580496).

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

4079893104 is a wasteful number, since it uses less digits than its factorization.

4079893104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4237 (or 4225 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 4079893104 is about 63874.0409243066. The cubic root of 4079893104 is about 1597.8999928538.

The spelling of 4079893104 in words is "four billion, seventy-nine million, eight hundred ninety-three thousand, one hundred four".