42391332864 has 144 divisors (see below), whose sum is σ = 122597862660. Its totient is φ = 14111539200.

The previous prime is 42391332833. The next prime is 42391332869. The reversal of 42391332864 is 46823319324.

42391332864 is a `hidden beast` number, since 4 + 239 + 1 + 332 + 86 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41694372864 + 696960000 = 204192^2 + 26400^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42391332869) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23536764 + ... + 23538564.

Almost surely, 2^42391332864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42391332864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61298931330).

42391332864 is an abundant number, since it is smaller than the sum of its proper divisors (80206529796).

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

42391332864 is a wasteful number, since it uses less digits than its factorization.

42391332864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3106 (or 3083 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The spelling of 42391332864 in words is "forty-two billion, three hundred ninety-one million, three hundred thirty-two thousand, eight hundred sixty-four".