41287317160 has 128 divisors (see below), whose sum is σ = 95321318400. Its totient is φ = 16091412480.

The previous prime is 41287317157. The next prime is 41287317161. The reversal of 41287317160 is 6171378214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (41287317161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103998082 + ... + 103998478.

It is an arithmetic number, because the mean of its divisors is an integer number (744697800).

Almost surely, 2^41287317160 is an apocalyptic number.

41287317160 is a gapful number since it is divisible by the number (40) 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 41287317160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47660659200).

41287317160 is an abundant number, since it is smaller than the sum of its proper divisors (54034001240).

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

41287317160 is a wasteful number, since it uses less digits than its factorization.

41287317160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The spelling of 41287317160 in words is "forty-one billion, two hundred eighty-seven million, three hundred seventeen thousand, one hundred sixty".