1944181581120 has 336 divisors, whose sum is σ = 6714726230160. Its totient is φ = 516317184000.

The previous prime is 1944181581077. The next prime is 1944181581131. The reversal of 1944181581120 is 211851814491.

1944181581120 is a `hidden beast` number, since 1 + 9 + 4 + 41 + 8 + 1 + 581 + 1 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 631910525184 + 1312271055936 = 794928^2 + 1145544^2 .

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1086741186 + ... + 1086742974.

Almost surely, 2^{1944181581120} is an apocalyptic number.

1944181581120 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 1944181581120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3357363115080).

1944181581120 is an abundant number, since it is smaller than the sum of its proper divisors (4770544649040).

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

1944181581120 is a wasteful number, since it uses less digits than its factorization.

1944181581120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3154 (or 3141 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 45.

The spelling of 1944181581120 in words is "one trillion, nine hundred forty-four billion, one hundred eighty-one million, five hundred eighty-one thousand, one hundred twenty".