42186912768 has 1056 divisors, whose sum is σ = 173818794240. Its totient is φ = 9484369920.

The previous prime is 42186912767. The next prime is 42186912787. The reversal of 42186912768 is 86721968124.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42186912767) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 156828538 + ... + 156828806.

Almost surely, 2^42186912768 is an apocalyptic number.

42186912768 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 42186912768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86909397120).

42186912768 is an abundant number, since it is smaller than the sum of its proper divisors (131631881472).

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

42186912768 is a wasteful number, since it uses less digits than its factorization.

42186912768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 322 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 42186912768 in words is "forty-two billion, one hundred eighty-six million, nine hundred twelve thousand, seven hundred sixty-eight".