42412517568 has 420 divisors, whose sum is σ = 133869436096. Its totient is φ = 13262745600.

The previous prime is 42412517513. The next prime is 42412517579. The reversal of 42412517568 is 86571521424.

42412517568 is a `hidden beast` number, since 4 + 2 + 412 + 5 + 175 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 270143346 + ... + 270143502.

Almost surely, 2^42412517568 is an apocalyptic number.

42412517568 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 42412517568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66934718048).

42412517568 is an abundant number, since it is smaller than the sum of its proper divisors (91456918528).

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

42412517568 is a wasteful number, since it uses less digits than its factorization.

42412517568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 234 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The spelling of 42412517568 in words is "forty-two billion, four hundred twelve million, five hundred seventeen thousand, five hundred sixty-eight".