1944954547200 has 1056 divisors, whose sum is σ = 8592788518400. Its totient is φ = 421143183360.

The previous prime is 1944954547199. The next prime is 1944954547273. The reversal of 1944954547200 is 27454594491.

1944954547200 is a `hidden beast` number, since 1 + 9 + 4 + 4 + 95 + 4 + 547 + 2 + 0 + 0 = 666.

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

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, 91919022 + ... + 91940178.

Almost surely, 2^{1944954547200} is an apocalyptic number.

1944954547200 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 1944954547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4296394259200).

1944954547200 is an abundant number, since it is smaller than the sum of its proper divisors (6647833971200).

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

1944954547200 is a wasteful number, since it uses less digits than its factorization.

1944954547200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21222 (or 21193 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 1944954547200 in words is "one trillion, nine hundred forty-four billion, nine hundred fifty-four million, five hundred forty-seven thousand, two hundred".