1982656416000 has 1152 divisors, whose sum is σ = 7584749093376. Its totient is φ = 454714982400.

The previous prime is 1982656415989. The next prime is 1982656416007. The reversal of 1982656416000 is 6146562891.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1982656416007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2397407587 + ... + 2397408413.

It is an arithmetic number, because the mean of its divisors is an integer number (6583983588).

Almost surely, 2^{1982656416000} is an apocalyptic number.

1982656416000 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 1982656416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3792374546688).

1982656416000 is an abundant number, since it is smaller than the sum of its proper divisors (5602092677376).

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

1982656416000 is a wasteful number, since it uses less digits than its factorization.

1982656416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 1982656416000 in words is "one trillion, nine hundred eighty-two billion, six hundred fifty-six million, four hundred sixteen thousand".