41315411113200 has 960 divisors, whose sum is σ = 173981531136000. Its totient is φ = 9112526438400.

The previous prime is 41315411113121. The next prime is 41315411113297. The reversal of 41315411113200 is 231111451314.

41315411113200 is a `hidden beast` number, since 4 + 1 + 3 + 1 + 541 + 1 + 113 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 817891144 + ... + 817941656.

It is an arithmetic number, because the mean of its divisors is an integer number (181230761600).

Almost surely, 2^{41315411113200} is an apocalyptic number.

41315411113200 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 41315411113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86990765568000).

41315411113200 is an abundant number, since it is smaller than the sum of its proper divisors (132666120022800).

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

41315411113200 is a wasteful number, since it uses less digits than its factorization.

41315411113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50927 (or 50910 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 41315411113200 its reverse (231111451314), we get a palindrome (41546522564514).

The spelling of 41315411113200 in words is "forty-one trillion, three hundred fifteen billion, four hundred eleven million, one hundred thirteen thousand, two hundred".