42666810368 has 264 divisors, whose sum is σ = 107811396000. Its totient is φ = 16727703552.

The previous prime is 42666810337. The next prime is 42666810371. The reversal of 42666810368 is 86301866624.

It is a happy number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 97190693 + ... + 97191131.

It is an arithmetic number, because the mean of its divisors is an integer number (408376500).

Almost surely, 2^42666810368 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 42666810368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53905698000).

42666810368 is an abundant number, since it is smaller than the sum of its proper divisors (65144585632).

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

42666810368 is a wasteful number, since it uses less digits than its factorization.

42666810368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 50.

The spelling of 42666810368 in words is "forty-two billion, six hundred sixty-six million, eight hundred ten thousand, three hundred sixty-eight".