42986828160 has 384 divisors, whose sum is σ = 157839084000. Its totient is φ = 10749542400.

The previous prime is 42986828153. The next prime is 42986828189. The reversal of 42986828160 is 6182868924.

42986828160 is a `hidden beast` number, since 429 + 8 + 6 + 82 + 81 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 42986828097 and 42986828106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11051496 + ... + 11055384.

Almost surely, 2^42986828160 is an apocalyptic number.

42986828160 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 42986828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78919542000).

42986828160 is an abundant number, since it is smaller than the sum of its proper divisors (114852255840).

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

42986828160 is a wasteful number, since it uses less digits than its factorization.

42986828160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4034 (or 4019 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 42986828160 in words is "forty-two billion, nine hundred eighty-six million, eight hundred twenty-eight thousand, one hundred sixty".