41605200000 has 1152 divisors, whose sum is σ = 185628119040. Its totient is φ = 8709120000.

The previous prime is 41605199989. The next prime is 41605200017. The reversal of 41605200000 is 250614.

It is a happy number.

41605200000 is a `hidden beast` number, since 41 + 605 + 20 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 327599937 + ... + 327600063.

It is an arithmetic number, because the mean of its divisors is an integer number (161135520).

Almost surely, 2^41605200000 is an apocalyptic number.

41605200000 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 41605200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92814059520).

41605200000 is an abundant number, since it is smaller than the sum of its proper divisors (144022919040).

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

41605200000 is a wasteful number, since it uses less digits than its factorization.

41605200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 157 counting only the distinct ones).

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

Adding to 41605200000 its reverse (250614), we get a palindrome (41605450614).

The spelling of 41605200000 in words is "forty-one billion, six hundred five million, two hundred thousand".