41313140160 has 224 divisors, whose sum is σ = 135922268160. Its totient is φ = 10618933248.

The previous prime is 41313140159. The next prime is 41313140161. The reversal of 41313140160 is 6104131314.

It is an interprime number because it is at equal distance from previous prime (41313140159) and next prime (41313140161).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41313140160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41313140161) 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, 26363697 + ... + 26365263.

It is an arithmetic number, because the mean of its divisors is an integer number (606795840).

Almost surely, 2^41313140160 is an apocalyptic number.

41313140160 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 41313140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67961134080).

41313140160 is an abundant number, since it is smaller than the sum of its proper divisors (94609128000).

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

41313140160 is a wasteful number, since it uses less digits than its factorization.

41313140160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563 (or 2553 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 41313140160 its reverse (6104131314), we get a palindrome (47417271474).

The spelling of 41313140160 in words is "forty-one billion, three hundred thirteen million, one hundred forty thousand, one hundred sixty".