1980412992480 has 768 divisors, whose sum is σ = 7054638022656. Its totient is φ = 463693455360.

The previous prime is 1980412992463. The next prime is 1980412992559. The reversal of 1980412992480 is 842992140891.

It is a self number, because there is not a number n which added to its sum of digits gives 1980412992480.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3373786747 + ... + 3373787333.

It is an arithmetic number, because the mean of its divisors is an integer number (9185726592).

Almost surely, 2^{1980412992480} is an apocalyptic number.

1980412992480 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 1980412992480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3527319011328).

1980412992480 is an abundant number, since it is smaller than the sum of its proper divisors (5074225030176).

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

1980412992480 is a wasteful number, since it uses less digits than its factorization.

1980412992480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 57.

The spelling of 1980412992480 in words is "one trillion, nine hundred eighty billion, four hundred twelve million, nine hundred ninety-two thousand, four hundred eighty".