20791943040 has 384 divisors, whose sum is σ = 75222927360. Its totient is φ = 4876185600.

The previous prime is 20791943021. The next prime is 20791943077. The reversal of 20791943040 is 4034919702.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 20791943040.

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 47 ways as a sum of consecutive naturals, for example, 7200477 + ... + 7203363.

It is an arithmetic number, because the mean of its divisors is an integer number (195893040).

Almost surely, 2^20791943040 is an apocalyptic number.

20791943040 is a gapful number since it is divisible by the number (20) 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 20791943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37611463680).

20791943040 is an abundant number, since it is smaller than the sum of its proper divisors (54430984320).

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

20791943040 is a wasteful number, since it uses less digits than its factorization.

20791943040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2962 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 20791943040 in words is "twenty billion, seven hundred ninety-one million, nine hundred forty-three thousand, forty".