41344112100 has 288 divisors, whose sum is σ = 129635591680. Its totient is φ = 10141148160.

The previous prime is 41344112083. The next prime is 41344112101. The reversal of 41344112100 is 121144314.

It is not an unprimeable number, because it can be changed into a prime (41344112101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27877959 + ... + 27879441.

Almost surely, 2^41344112100 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 41344112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64817795840).

41344112100 is an abundant number, since it is smaller than the sum of its proper divisors (88291479580).

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

41344112100 is a wasteful number, since it uses less digits than its factorization.

41344112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 41344112100 its reverse (121144314), we get a palindrome (41465256414).

The spelling of 41344112100 in words is "forty-one billion, three hundred forty-four million, one hundred twelve thousand, one hundred".