42181015968 has 1152 divisors, whose sum is σ = 169073049600. Its totient is φ = 9656672256.

The previous prime is 42181015967. The next prime is 42181015979. The reversal of 42181015968 is 86951018124.

It is a happy number.

42181015968 is a `hidden beast` number, since 42 + 1 + 8 + 10 + 1 + 596 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (42181015963) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 332133921 + ... + 332134047.

It is an arithmetic number, because the mean of its divisors is an integer number (146764800).

Almost surely, 2^42181015968 is an apocalyptic number.

42181015968 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 42181015968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84536524800).

42181015968 is an abundant number, since it is smaller than the sum of its proper divisors (126892033632).

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

42181015968 is a wasteful number, since it uses less digits than its factorization.

42181015968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 42181015968 in words is "forty-two billion, one hundred eighty-one million, fifteen thousand, nine hundred sixty-eight".