52404141301200 has 1440 divisors, whose sum is σ = 202591253329920. Its totient is φ = 12465053798400.

The previous prime is 52404141300997. The next prime is 52404141301219. The reversal of 52404141301200 is 210314140425.

52404141301200 is a `hidden beast` number, since 5 + 2 + 4 + 0 + 41 + 413 + 0 + 1 + 200 = 666.

52404141301200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×52404141301200² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 38335142917 + ... + 38335144283.

It is an arithmetic number, because the mean of its divisors is an integer number (140688370368).

Almost surely, 2^{52404141301200} is an apocalyptic number.

52404141301200 is a gapful number since it is divisible by the number (50) 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 52404141301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101295626664960).

52404141301200 is an abundant number, since it is smaller than the sum of its proper divisors (150187112028720).

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

52404141301200 is a wasteful number, since it uses less digits than its factorization.

52404141301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 52404141301200 its reverse (210314140425), we get a palindrome (52614455441625).

The spelling of 52404141301200 in words is "fifty-two trillion, four hundred four billion, one hundred forty-one million, three hundred one thousand, two hundred".