42846816000 has 288 divisors, whose sum is σ = 143010504000. Its totient is φ = 11370086400.

The previous prime is 42846815993. The next prime is 42846816007. The reversal of 42846816000 is 61864824.

42846816000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42846815993) and next prime (42846816007).

It is a self number, because there is not a number n which added to its sum of digits gives 42846816000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42846816007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21983026 + ... + 21984974.

It is an arithmetic number, because the mean of its divisors is an integer number (496564250).

Almost surely, 2^42846816000 is an apocalyptic number.

42846816000 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 42846816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71505252000).

42846816000 is an abundant number, since it is smaller than the sum of its proper divisors (100163688000).

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

42846816000 is a wasteful number, since it uses less digits than its factorization.

42846816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 42846816000 in words is "forty-two billion, eight hundred forty-six million, eight hundred sixteen thousand".