1980387918432 has 864 divisors, whose sum is σ = 7442544459168. Its totient is φ = 493516800000.

The previous prime is 1980387918389. The next prime is 1980387918461. The reversal of 1980387918432 is 2348197830891.

1980387918432 is a `hidden beast` number, since 1 + 9 + 80 + 38 + 7 + 91 + 8 + 432 = 666.

It is a super-3 number, since 3×1980387918432³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 1980387918432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 388232682 + ... + 388237782.

It is an arithmetic number, because the mean of its divisors is an integer number (8614056087).

Almost surely, 2^{1980387918432} is an apocalyptic number.

1980387918432 is a gapful number since it is divisible by the number (12) 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 1980387918432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3721272229584).

1980387918432 is an abundant number, since it is smaller than the sum of its proper divisors (5462156540736).

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

1980387918432 is a wasteful number, since it uses less digits than its factorization.

1980387918432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5244 (or 5226 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 1980387918432 in words is "one trillion, nine hundred eighty billion, three hundred eighty-seven million, nine hundred eighteen thousand, four hundred thirty-two".