41243012042100 has 288 divisors, whose sum is σ = 132329060398080. Its totient is φ = 9833853312000.

The previous prime is 41243012042077. The next prime is 41243012042107. The reversal of 41243012042100 is 124021034214.

It is a super-2 number, since 2×41243012042100² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41243012042107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86244655 + ... + 86721545.

It is an arithmetic number, because the mean of its divisors is an integer number (459475904160).

Almost surely, 2^{41243012042100} 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 41243012042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66164530199040).

41243012042100 is an abundant number, since it is smaller than the sum of its proper divisors (91086048355980).

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

41243012042100 is a wasteful number, since it uses less digits than its factorization.

41243012042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477351 (or 477344 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 41243012042100 its reverse (124021034214), we get a palindrome (41367033076314).

The spelling of 41243012042100 in words is "forty-one trillion, two hundred forty-three billion, twelve million, forty-two thousand, one hundred".