42846039936000 has 2112 divisors, whose sum is σ = 183873675009024. Its totient is φ = 9746251776000.

The previous prime is 42846039935989. The next prime is 42846039936031. The reversal of 42846039936000 is 63993064824.

42846039936000 is a `hidden beast` number, since 4 + 2 + 8 + 460 + 39 + 93 + 60 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66842495680 + ... + 66842496320.

It is an arithmetic number, because the mean of its divisors is an integer number (87061399152).

Almost surely, 2^{42846039936000} is an apocalyptic number.

42846039936000 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 42846039936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91936837504512).

42846039936000 is an abundant number, since it is smaller than the sum of its proper divisors (141027635073024).

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

42846039936000 is an equidigital number, since it uses as much as digits as its factorization.

42846039936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 42846039936000 in words is "forty-two trillion, eight hundred forty-six billion, thirty-nine million, nine hundred thirty-six thousand".