42981263160 has 256 divisors, whose sum is σ = 145487646720. Its totient is φ = 10074355200.

The previous prime is 42981263057. The next prime is 42981263207. The reversal of 42981263160 is 6136218924.

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 63 ways as a sum of consecutive naturals, for example, 39323574 + ... + 39324666.

It is an arithmetic number, because the mean of its divisors is an integer number (568311120).

Almost surely, 2^42981263160 is an apocalyptic number.

42981263160 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 42981263160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72743823360).

42981263160 is an abundant number, since it is smaller than the sum of its proper divisors (102506383560).

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

42981263160 is a wasteful number, since it uses less digits than its factorization.

42981263160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 42981263160 in words is "forty-two billion, nine hundred eighty-one million, two hundred sixty-three thousand, one hundred sixty".