4044163968 has 384 divisors, whose sum is σ = 13366080000. Its totient is φ = 1164201984.

The previous prime is 4044163951. The next prime is 4044163969. The reversal of 4044163968 is 8693614404.

4044163968 is a `hidden beast` number, since 4 + 0 + 4 + 4 + 1 + 639 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4044163969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20322333 + ... + 20322531.

It is an arithmetic number, because the mean of its divisors is an integer number (34807500).

Almost surely, 2^4044163968 is an apocalyptic number.

4044163968 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 4044163968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6683040000).

4044163968 is an abundant number, since it is smaller than the sum of its proper divisors (9321916032).

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

4044163968 is a wasteful number, since it uses less digits than its factorization.

4044163968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4044163968 is about 63593.7415788692. The cubic root of 4044163968 is about 1593.2218425788.

The spelling of 4044163968 in words is "four billion, forty-four million, one hundred sixty-three thousand, nine hundred sixty-eight".