41148845100 has 864 divisors, whose sum is σ = 159589785600. Its totient is φ = 9047808000.

The previous prime is 41148845093. The next prime is 41148845137. The reversal of 41148845100 is 154884114.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 172170781 + ... + 172171019.

It is an arithmetic number, because the mean of its divisors is an integer number (184710400).

Almost surely, 2^41148845100 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 41148845100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79794892800).

41148845100 is an abundant number, since it is smaller than the sum of its proper divisors (118440940500).

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

41148845100 is a wasteful number, since it uses less digits than its factorization.

41148845100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 41148845100 in words is "forty-one billion, one hundred forty-eight million, eight hundred forty-five thousand, one hundred".