42002605568 has 320 divisors, whose sum is σ = 113135616000. Its totient is φ = 15389982720.

The previous prime is 42002605559. The next prime is 42002605577. The reversal of 42002605568 is 86550620024.

It is an interprime number because it is at equal distance from previous prime (42002605559) and next prime (42002605577).

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32839553 + ... + 32840831.

It is an arithmetic number, because the mean of its divisors is an integer number (353548800).

Almost surely, 2^42002605568 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 42002605568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56567808000).

42002605568 is an abundant number, since it is smaller than the sum of its proper divisors (71133010432).

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

42002605568 is a wasteful number, since it uses less digits than its factorization.

42002605568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The spelling of 42002605568 in words is "forty-two billion, two million, six hundred five thousand, five hundred sixty-eight".