41118105600 has 1152 divisors, whose sum is σ = 178454426400. Its totient is φ = 9201254400.

The previous prime is 41118105577. The next prime is 41118105607. The reversal of 41118105600 is 650181114.

41118105600 is a `hidden beast` number, since 41 + 1 + 1 + 8 + 10 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (41118105607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3162931194 + ... + 3162931206.

Almost surely, 2^41118105600 is an apocalyptic number.

41118105600 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 41118105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89227213200).

41118105600 is an abundant number, since it is smaller than the sum of its proper divisors (137336320800).

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

41118105600 is a wasteful number, since it uses less digits than its factorization.

41118105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 41118105600 its reverse (650181114), we get a palindrome (41768286714).

The spelling of 41118105600 in words is "forty-one billion, one hundred eighteen million, one hundred five thousand, six hundred".