41364197100 has 360 divisors, whose sum is σ = 137931171840. Its totient is φ = 10717764480.

The previous prime is 41364197081. The next prime is 41364197111. The reversal of 41364197100 is 179146314.

41364197100 is a `hidden beast` number, since 4 + 1 + 3 + 641 + 9 + 7 + 1 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 68144997 + ... + 68145603.

It is an arithmetic number, because the mean of its divisors is an integer number (383142144).

Almost surely, 2^41364197100 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 41364197100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68965585920).

41364197100 is an abundant number, since it is smaller than the sum of its proper divisors (96566974740).

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

41364197100 is a wasteful number, since it uses less digits than its factorization.

41364197100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 41364197100 in words is "forty-one billion, three hundred sixty-four million, one hundred ninety-seven thousand, one hundred".