42864986160 has 240 divisors, whose sum is σ = 149552990496. Its totient is φ = 11410274304.

The previous prime is 42864986083. The next prime is 42864986191. The reversal of 42864986160 is 6168946824.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 42864986097 and 42864986106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13159252 + ... + 13162508.

Almost surely, 2^42864986160 is an apocalyptic number.

42864986160 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 42864986160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74776495248).

42864986160 is an abundant number, since it is smaller than the sum of its proper divisors (106688004336).

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

42864986160 is a wasteful number, since it uses less digits than its factorization.

42864986160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3962 (or 3944 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 42864986160 in words is "forty-two billion, eight hundred sixty-four million, nine hundred eighty-six thousand, one hundred sixty".