41892101587968 has 176 divisors, whose sum is σ = 116615829252480. Its totient is φ = 13345045807104.

The previous prime is 41892101587951. The next prime is 41892101588027. The reversal of 41892101587968 is 86978510129814.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (69).

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 15 ways as a sum of consecutive naturals, for example, 79508046 + ... + 80033202.

Almost surely, 2^{41892101587968} is an apocalyptic number.

41892101587968 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 41892101587968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58307914626240).

41892101587968 is an abundant number, since it is smaller than the sum of its proper divisors (74723727664512).

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

41892101587968 is a wasteful number, since it uses less digits than its factorization.

41892101587968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526332 (or 526314 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 69.

The spelling of 41892101587968 in words is "forty-one trillion, eight hundred ninety-two billion, one hundred one million, five hundred eighty-seven thousand, nine hundred sixty-eight".