4079760128 has 72 divisors (see below), whose sum is σ = 8262870000. Its totient is φ = 2010230784.

The previous prime is 4079760109. The next prime is 4079760203. The reversal of 4079760128 is 8210679704.

It is a Cunningham number, because it is equal to 63873²-1.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8175623 + ... + 8176121.

Almost surely, 2^4079760128 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 4079760128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4131435000).

4079760128 is an abundant number, since it is smaller than the sum of its proper divisors (4183109872).

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

4079760128 is a wasteful number, since it uses less digits than its factorization.

4079760128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 44.

The square root of 4079760128 is about 63872.9999921720. Note that the first 5 decimals coincide. The cubic root of 4079760128 is about 1597.8826325413.

The spelling of 4079760128 in words is "four billion, seventy-nine million, seven hundred sixty thousand, one hundred twenty-eight".