42242332320 has 72 divisors (see below), whose sum is σ = 144151963956. Its totient is φ = 11264621568.

The previous prime is 42242332313. The next prime is 42242332337. The reversal of 42242332320 is 2323324224.

It is a happy number.

42242332320 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 2 + 332 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42052884624 + 189447696 = 205068^2 + 13764^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 14666037 + ... + 14668916.

Almost surely, 2^42242332320 is an apocalyptic number.

42242332320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42242332320 is an abundant number, since it is smaller than the sum of its proper divisors (101909631636).

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

42242332320 is a wasteful number, since it uses less digits than its factorization.

42242332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29334974 (or 29334963 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 42242332320 its reverse (2323324224), we get a palindrome (44565656544).

The spelling of 42242332320 in words is "forty-two billion, two hundred forty-two million, three hundred thirty-two thousand, three hundred twenty".