4440067968 has 384 divisors, whose sum is σ = 14511744000. Its totient is φ = 1197600768.

The previous prime is 4440067963. The next prime is 4440068011. The reversal of 4440067968 is 8697600444.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4440067963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43107405 + ... + 43107507.

It is an arithmetic number, because the mean of its divisors is an integer number (37791000).

Almost surely, 2^4440067968 is an apocalyptic number.

4440067968 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 4440067968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7255872000).

4440067968 is an abundant number, since it is smaller than the sum of its proper divisors (10071676032).

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

4440067968 is a wasteful number, since it uses less digits than its factorization.

4440067968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The square root of 4440067968 is about 66633.8350089502. The cubic root of 4440067968 is about 1643.6015396998.

The spelling of 4440067968 in words is "four billion, four hundred forty million, sixty-seven thousand, nine hundred sixty-eight".