41103414404100 has 216 divisors, whose sum is σ = 130747684190760. Its totient is φ = 10799179776000.

The previous prime is 41103414404071. The next prime is 41103414404119. The reversal of 41103414404100 is 140441430114.

41103414404100 is a `hidden beast` number, since 4 + 1 + 103 + 4 + 144 + 0 + 410 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 9259897688064 + 31843516716036 = 3043008^2 + 5643006^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21595020 + ... + 23421180.

It is an arithmetic number, because the mean of its divisors is an integer number (605313352735).

Almost surely, 2^{41103414404100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41103414404100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65373842095380).

41103414404100 is an abundant number, since it is smaller than the sum of its proper divisors (89644269786660).

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

41103414404100 is a wasteful number, since it uses less digits than its factorization.

41103414404100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826551 (or 1826541 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 41103414404100 its reverse (140441430114), we get a palindrome (41243855834214).

The spelling of 41103414404100 in words is "forty-one trillion, one hundred three billion, four hundred fourteen million, four hundred four thousand, one hundred".