4429441728000 has 960 divisors, whose sum is σ = 16857561314880. Its totient is φ = 1114767360000.

The previous prime is 4429441727983. The next prime is 4429441728017. The reversal of 4429441728000 is 8271449244.

4429441728000 is a `hidden beast` number, since 44 + 29 + 441 + 72 + 80 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4429441727983) and next prime (4429441728017).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3688127400 + ... + 3688128600.

It is an arithmetic number, because the mean of its divisors is an integer number (17559959703).

Almost surely, 2^{4429441728000} is an apocalyptic number.

4429441728000 is a gapful number since it is divisible by the number (40) 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 4429441728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8428780657440).

4429441728000 is an abundant number, since it is smaller than the sum of its proper divisors (12428119586880).

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

4429441728000 is a wasteful number, since it uses less digits than its factorization.

4429441728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

It can be divided in two parts, 4429441 and 728000, that added together give a square (5157441 = 2271²).

The spelling of 4429441728000 in words is "four trillion, four hundred twenty-nine billion, four hundred forty-one million, seven hundred twenty-eight thousand".