42174586368 has 480 divisors, whose sum is σ = 135841305600. Its totient is φ = 12541132800.

The previous prime is 42174586313. The next prime is 42174586417. The reversal of 42174586368 is 86368547124.

It is a happy number.

42174586368 is a `hidden beast` number, since 4 + 21 + 7 + 4 + 586 + 36 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111278403 + ... + 111278781.

It is an arithmetic number, because the mean of its divisors is an integer number (283002720).

Almost surely, 2^42174586368 is an apocalyptic number.

42174586368 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 42174586368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67920652800).

42174586368 is an abundant number, since it is smaller than the sum of its proper divisors (93666719232).

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

42174586368 is a wasteful number, since it uses less digits than its factorization.

42174586368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 475 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 42174586368 in words is "forty-two billion, one hundred seventy-four million, five hundred eighty-six thousand, three hundred sixty-eight".