41435871168 has 112 divisors (see below), whose sum is σ = 114482880000. Its totient is φ = 13201757184.

The previous prime is 41435871167. The next prime is 41435871229. The reversal of 41435871168 is 86117853414.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41435871167) 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 15 ways as a sum of consecutive naturals, for example, 8286333 + ... + 8291331.

Almost surely, 2^41435871168 is an apocalyptic number.

41435871168 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 41435871168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57241440000).

41435871168 is an abundant number, since it is smaller than the sum of its proper divisors (73047008832).

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

41435871168 is a wasteful number, since it uses less digits than its factorization.

41435871168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6914 (or 6904 counting only the distinct ones).

The product of its digits is 645120, while the sum is 48.

The spelling of 41435871168 in words is "forty-one billion, four hundred thirty-five million, eight hundred seventy-one thousand, one hundred sixty-eight".