41313444480 has 768 divisors, whose sum is σ = 181587744000. Its totient is φ = 8580096000.

The previous prime is 41313444463. The next prime is 41313444517. The reversal of 41313444480 is 8444431314.

41313444480 is a `hidden beast` number, since 4 + 1 + 3 + 134 + 44 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21731530 + ... + 21733430.

It is an arithmetic number, because the mean of its divisors is an integer number (236442375).

Almost surely, 2^41313444480 is an apocalyptic number.

41313444480 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 41313444480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90793872000).

41313444480 is an abundant number, since it is smaller than the sum of its proper divisors (140274299520).

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

41313444480 is a wasteful number, since it uses less digits than its factorization.

41313444480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 41313444480 its reverse (8444431314), we get a palindrome (49757875794).

The spelling of 41313444480 in words is "forty-one billion, three hundred thirteen million, four hundred forty-four thousand, four hundred eighty".