42239644704 has 288 divisors, whose sum is σ = 126496581120. Its totient is φ = 13353984000.

The previous prime is 42239644663. The next prime is 42239644723. The reversal of 42239644704 is 40744693224.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 42239644704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125340024 + ... + 125340360.

It is an arithmetic number, because the mean of its divisors is an integer number (439224240).

Almost surely, 2^42239644704 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 42239644704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63248290560).

42239644704 is an abundant number, since it is smaller than the sum of its proper divisors (84256936416).

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

42239644704 is a wasteful number, since it uses less digits than its factorization.

42239644704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 42239644704 in words is "forty-two billion, two hundred thirty-nine million, six hundred forty-four thousand, seven hundred four".