41331103133400 has 576 divisors, whose sum is σ = 144174199403520. Its totient is φ = 10599789081600.

The previous prime is 41331103133389. The next prime is 41331103133417. The reversal of 41331103133400 is 433130113314.

41331103133400 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 1 + 1 + 0 + 313 + 340 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7764623139 + ... + 7764628461.

It is an arithmetic number, because the mean of its divisors is an integer number (250302429520).

Almost surely, 2^{41331103133400} is an apocalyptic number.

41331103133400 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 41331103133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72087099701760).

41331103133400 is an abundant number, since it is smaller than the sum of its proper divisors (102843096270120).

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

41331103133400 is a wasteful number, since it uses less digits than its factorization.

41331103133400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6216 (or 6204 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 41331103133400 its reverse (433130113314), we get a palindrome (41764233246714).

The spelling of 41331103133400 in words is "forty-one trillion, three hundred thirty-one billion, one hundred three million, one hundred thirty-three thousand, four hundred".