41013205200 has 240 divisors, whose sum is σ = 159247694400. Its totient is φ = 9942566400.

The previous prime is 41013205199. The next prime is 41013205201. The reversal of 41013205200 is 250231014.

41013205200 is a `hidden beast` number, since 4 + 10 + 132 + 0 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (41013205199) and next prime (41013205201).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41013205201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53815 + ... + 291414.

It is an arithmetic number, because the mean of its divisors is an integer number (663532060).

Almost surely, 2^41013205200 is an apocalyptic number.

41013205200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41013205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79623847200).

41013205200 is an abundant number, since it is smaller than the sum of its proper divisors (118234489200).

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

41013205200 is a wasteful number, since it uses less digits than its factorization.

41013205200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345267 (or 345250 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 41013205200 its reverse (250231014), we get a palindrome (41263436214).

The spelling of 41013205200 in words is "forty-one billion, thirteen million, two hundred five thousand, two hundred".