42843600000 has 384 divisors, whose sum is σ = 158089881600. Its totient is φ = 11422080000.

The previous prime is 42843599999. The next prime is 42843600011. The reversal of 42843600000 is 634824.

42843600000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10798017 + ... + 10801983.

It is an arithmetic number, because the mean of its divisors is an integer number (411692400).

Almost surely, 2^42843600000 is an apocalyptic number.

42843600000 is a gapful number since it is divisible by the number (40) 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 42843600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79044940800).

42843600000 is an abundant number, since it is smaller than the sum of its proper divisors (115246281600).

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

42843600000 is an frugal number, since it uses more digits than its factorization.

42843600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4015 (or 3977 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 42843600000 in words is "forty-two billion, eight hundred forty-three million, six hundred thousand".