41675888100 has 288 divisors, whose sum is σ = 153836153856. Its totient is φ = 8458329600.

The previous prime is 41675888071. The next prime is 41675888101. The reversal of 41675888100 is 188857614.

It is a happy number.

It is a super-2 number, since 2×41675888100² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 41675888100.

It is not an unprimeable number, because it can be changed into a prime (41675888101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 972322 + ... + 1014278.

It is an arithmetic number, because the mean of its divisors is an integer number (534153312).

Almost surely, 2^41675888100 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 41675888100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76918076928).

41675888100 is an abundant number, since it is smaller than the sum of its proper divisors (112160265756).

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

41675888100 is a wasteful number, since it uses less digits than its factorization.

41675888100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42035 (or 42028 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 48.

The spelling of 41675888100 in words is "forty-one billion, six hundred seventy-five million, eight hundred eighty-eight thousand, one hundred".