4442244778800 has 540 divisors, whose sum is σ = 16809965798440. Its totient is φ = 1113981788160.

The previous prime is 4442244778771. The next prime is 4442244778813. The reversal of 4442244778800 is 88774422444.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3723591004 + ... + 3723592196.

Almost surely, 2^{4442244778800} is an apocalyptic number.

4442244778800 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 4442244778800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8404982899220).

4442244778800 is an abundant number, since it is smaller than the sum of its proper divisors (12367721019640).

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

4442244778800 is a wasteful number, since it uses less digits than its factorization.

4442244778800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 12845056, while the sum is 54.

The spelling of 4442244778800 in words is "four trillion, four hundred forty-two billion, two hundred forty-four million, seven hundred seventy-eight thousand, eight hundred".