4440066048 has 288 divisors, whose sum is σ = 14258462400. Its totient is φ = 1319731200.

The previous prime is 4440066031. The next prime is 4440066067. The reversal of 4440066048 is 8406600444.

4440066048 is a `hidden beast` number, since 4 + 4 + 40 + 0 + 6 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12367693 + ... + 12368051.

It is an arithmetic number, because the mean of its divisors is an integer number (49508550).

Almost surely, 2^4440066048 is an apocalyptic number.

4440066048 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 4440066048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7129231200).

4440066048 is an abundant number, since it is smaller than the sum of its proper divisors (9818396352).

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

4440066048 is a wasteful number, since it uses less digits than its factorization.

4440066048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4440066048 is about 66633.8206018535. The cubic root of 4440066048 is about 1643.6013027879.

It can be divided in two parts, 444006 and 6048, that added together give a palindrome (450054).

The spelling of 4440066048 in words is "four billion, four hundred forty million, sixty-six thousand, forty-eight".