1944227952800 has 288 divisors, whose sum is σ = 5627778549120. Its totient is φ = 641733120000.

The previous prime is 1944227952767. The next prime is 1944227952827. The reversal of 1944227952800 is 82597224491.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56335550 + ... + 56370050.

It is an arithmetic number, because the mean of its divisors is an integer number (19540897740).

Almost surely, 2^{1944227952800} is an apocalyptic number.

1944227952800 is a gapful number since it is divisible by the number (10) 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 1944227952800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813889274560).

1944227952800 is an abundant number, since it is smaller than the sum of its proper divisors (3683550596320).

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

1944227952800 is a wasteful number, since it uses less digits than its factorization.

1944227952800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34904 (or 34891 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 53.

The spelling of 1944227952800 in words is "one trillion, nine hundred forty-four billion, two hundred twenty-seven million, nine hundred fifty-two thousand, eight hundred".