4179148704 has 144 divisors (see below), whose sum is σ = 12329127720. Its totient is φ = 1341204480.

The previous prime is 4179148669. The next prime is 4179148763. The reversal of 4179148704 is 4078419714.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4067888400 + 111260304 = 63780^2 + 10548^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 4179148704.

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 23 ways as a sum of consecutive naturals, for example, 5520294 + ... + 5521050.

Almost surely, 2^4179148704 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 4179148704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6164563860).

4179148704 is an abundant number, since it is smaller than the sum of its proper divisors (8149979016).

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

4179148704 is a wasteful number, since it uses less digits than its factorization.

4179148704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 4179148704 is about 64646.3355806035. The cubic root of 4179148704 is about 1610.7542090860.

The spelling of 4179148704 in words is "four billion, one hundred seventy-nine million, one hundred forty-eight thousand, seven hundred four".