42801849782112 has 192 divisors, whose sum is σ = 121787638547904. Its totient is φ = 13112952422400.

The previous prime is 42801849782047. The next prime is 42801849782123. The reversal of 42801849782112 is 21128794810824.

42801849782112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10254178 + ... + 13811294.

It is an arithmetic number, because the mean of its divisors is an integer number (634310617437).

Almost surely, 2^{42801849782112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42801849782112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60893819273952).

42801849782112 is an abundant number, since it is smaller than the sum of its proper divisors (78985788765792).

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

42801849782112 is a wasteful number, since it uses less digits than its factorization.

42801849782112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3557321 (or 3557313 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 57.

The spelling of 42801849782112 in words is "forty-two trillion, eight hundred one billion, eight hundred forty-nine million, seven hundred eighty-two thousand, one hundred twelve".