1984036317120 has 1680 divisors, whose sum is σ = 8582880597984. Its totient is φ = 428886835200.

The previous prime is 1984036317113. The next prime is 1984036317149. The reversal of 1984036317120 is 217136304891.

1984036317120 is a `hidden beast` number, since 1 + 9 + 8 + 4 + 0 + 3 + 631 + 7 + 1 + 2 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3562003882 + ... + 3562004438.

Almost surely, 2^{1984036317120} is an apocalyptic number.

1984036317120 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 1984036317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4291440298992).

1984036317120 is an abundant number, since it is smaller than the sum of its proper divisors (6598844280864).

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

1984036317120 is a wasteful number, since it uses less digits than its factorization.

1984036317120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1984036317120 in words is "one trillion, nine hundred eighty-four billion, thirty-six million, three hundred seventeen thousand, one hundred twenty".