41689867968 has 420 divisors, whose sum is σ = 147301546392. Its totient is φ = 11617966080.

The previous prime is 41689867957. The next prime is 41689868021. The reversal of 41689867968 is 86976898614.

41689867968 is a `hidden beast` number, since 416 + 8 + 9 + 86 + 79 + 68 = 666.

It is a super-3 number, since 3×41689867968³ (a number of 33 digits) contains 333 as substring.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 41689867896 and 41689867905.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 10412655 + ... + 10416657.

Almost surely, 2^41689867968 is an apocalyptic number.

41689867968 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 41689867968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73650773196).

41689867968 is an abundant number, since it is smaller than the sum of its proper divisors (105611678424).

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

41689867968 is a wasteful number, since it uses less digits than its factorization.

41689867968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4082 (or 4056 counting only the distinct ones).

The product of its digits is 250822656, while the sum is 72.

The spelling of 41689867968 in words is "forty-one billion, six hundred eighty-nine million, eight hundred sixty-seven thousand, nine hundred sixty-eight".