4004439168 has 128 divisors (see below), whose sum is σ = 11104128000. Its totient is φ = 1277419520.

The previous prime is 4004439157. The next prime is 4004439227. The reversal of 4004439168 is 8619344004.

It is a happy number.

4004439168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 832033 + ... + 836831.

It is an arithmetic number, because the mean of its divisors is an integer number (86751000).

Almost surely, 2^4004439168 is an apocalyptic number.

4004439168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4004439168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5552064000).

4004439168 is an abundant number, since it is smaller than the sum of its proper divisors (7099688832).

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

4004439168 is a wasteful number, since it uses less digits than its factorization.

4004439168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4910 (or 4898 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 4004439168 is about 63280.6381763016. The cubic root of 4004439168 is about 1587.9880631977.

The spelling of 4004439168 in words is "four billion, four million, four hundred thirty-nine thousand, one hundred sixty-eight".