4444956796800 has 768 divisors, whose sum is σ = 15934142649600. Its totient is φ = 1082598359040.

The previous prime is 4444956796793. The next prime is 4444956796817. The reversal of 4444956796800 is 86976594444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7180866891 + ... + 7180867509.

It is an arithmetic number, because the mean of its divisors is an integer number (20747581575).

Almost surely, 2^{4444956796800} is an apocalyptic number.

4444956796800 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 4444956796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7967071324800).

4444956796800 is an abundant number, since it is smaller than the sum of its proper divisors (11489185852800).

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

4444956796800 is a wasteful number, since it uses less digits than its factorization.

4444956796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 66.

The spelling of 4444956796800 in words is "four trillion, four hundred forty-four billion, nine hundred fifty-six million, seven hundred ninety-six thousand, eight hundred".