42659643394368 has 4480 divisors, whose sum is σ = 187366265856000. Its totient is φ = 9422571110400.

The previous prime is 42659643394367. The next prime is 42659643394387. The reversal of 42659643394368 is 86349334695624.

42659643394368 is a `hidden beast` number, since 4 + 2 + 6 + 5 + 96 + 433 + 9 + 43 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 42659643394296 and 42659643394305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42659643394367) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 306903909243 + ... + 306903909381.

It is an arithmetic number, because the mean of its divisors is an integer number (41822827200).

Almost surely, 2^{42659643394368} is an apocalyptic number.

42659643394368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42659643394368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93683132928000).

42659643394368 is an abundant number, since it is smaller than the sum of its proper divisors (144706622461632).

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

42659643394368 is a wasteful number, since it uses less digits than its factorization.

42659643394368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 263 counting only the distinct ones).

The product of its digits is 2418647040, while the sum is 72.

The spelling of 42659643394368 in words is "forty-two trillion, six hundred fifty-nine billion, six hundred forty-three million, three hundred ninety-four thousand, three hundred sixty-eight".