41504001325200 has 180 divisors, whose sum is σ = 144035118388980. Its totient is φ = 11067372149760.

The previous prime is 41504001325183. The next prime is 41504001325219. The reversal of 41504001325200 is 252310040514.

41504001325200 is a `hidden beast` number, since 4 + 1 + 5 + 0 + 4 + 0 + 0 + 132 + 520 + 0 = 666.

41504001325200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 11762073849744 + 29741927475456 = 3429588^2 + 5453616^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 120835306 + ... + 121178294.

It is an arithmetic number, because the mean of its divisors is an integer number (800195102161).

Almost surely, 2^{41504001325200} is an apocalyptic number.

41504001325200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41504001325200 is an abundant number, since it is smaller than the sum of its proper divisors (102531117063780).

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

41504001325200 is a wasteful number, since it uses less digits than its factorization.

41504001325200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376626 (or 376612 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 41504001325200 its reverse (252310040514), we get a palindrome (41756311365714).

It can be divided in two parts, 4150400 and 1325200, that added together give a square (5475600 = 2340²).

The spelling of 41504001325200 in words is "forty-one trillion, five hundred four billion, one million, three hundred twenty-five thousand, two hundred".