1983441669120 has 704 divisors, whose sum is σ = 7503814650240. Its totient is φ = 495112421376.

The previous prime is 1983441669091. The next prime is 1983441669127. The reversal of 1983441669120 is 219661443891.

1983441669120 is a `hidden beast` number, since 1 + 98 + 3 + 441 + 6 + 6 + 91 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1983441669127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 453563254 + ... + 453567626.

Almost surely, 2^{1983441669120} is an apocalyptic number.

1983441669120 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 1983441669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3751907325120).

1983441669120 is an abundant number, since it is smaller than the sum of its proper divisors (5520372981120).

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

1983441669120 is a wasteful number, since it uses less digits than its factorization.

1983441669120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4617 (or 4593 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 1983441669120 in words is "one trillion, nine hundred eighty-three billion, four hundred forty-one million, six hundred sixty-nine thousand, one hundred twenty".