42228280864 has 192 divisors, whose sum is σ = 107575050240. Its totient is φ = 15833502720.

The previous prime is 42228280841. The next prime is 42228280877. The reversal of 42228280864 is 46808282224.

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 31 ways as a sum of consecutive naturals, for example, 27366877 + ... + 27368419.

It is an arithmetic number, because the mean of its divisors is an integer number (560286720).

Almost surely, 2^42228280864 is an apocalyptic number.

42228280864 is a gapful number since it is divisible by the number (44) 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 42228280864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53787525120).

42228280864 is an abundant number, since it is smaller than the sum of its proper divisors (65346769376).

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

42228280864 is a wasteful number, since it uses less digits than its factorization.

42228280864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1975 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 46.

The spelling of 42228280864 in words is "forty-two billion, two hundred twenty-eight million, two hundred eighty thousand, eight hundred sixty-four".