41124040044100 has 288 divisors, whose sum is σ = 97545756672000. Its totient is φ = 14958211023360.

The previous prime is 41124040044053. The next prime is 41124040044151. The reversal of 41124040044100 is 144004042114.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 25590565497 + ... + 25590567103.

It is an arithmetic number, because the mean of its divisors is an integer number (338700544000).

Almost surely, 2^{41124040044100} 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 41124040044100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48772878336000).

41124040044100 is an abundant number, since it is smaller than the sum of its proper divisors (56421716627900).

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

41124040044100 is a wasteful number, since it uses less digits than its factorization.

41124040044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2619 (or 2612 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 41124040044100 its reverse (144004042114), we get a palindrome (41268044086214).

The spelling of 41124040044100 in words is "forty-one trillion, one hundred twenty-four billion, forty million, forty-four thousand, one hundred".