1984966430720 has 416 divisors, whose sum is σ = 5889436465920. Its totient is φ = 625331404800.

The previous prime is 1984966430633. The next prime is 1984966430749. The reversal of 1984966430720 is 270346694891.

It is a tau number, because it is divible by the number of its divisors (416).

It is a self number, because there is not a number n which added to its sum of digits gives 1984966430720.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 426780395 + ... + 426785045.

Almost surely, 2^{1984966430720} is an apocalyptic number.

1984966430720 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 1984966430720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944718232960).

1984966430720 is an abundant number, since it is smaller than the sum of its proper divisors (3904470035200).

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

1984966430720 is a wasteful number, since it uses less digits than its factorization.

1984966430720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4929 (or 4907 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 59.

The spelling of 1984966430720 in words is "one trillion, nine hundred eighty-four billion, nine hundred sixty-six million, four hundred thirty thousand, seven hundred twenty".