5301410405200 has 480 divisors, whose sum is σ = 15781942391040. Its totient is φ = 1666499788800.

The previous prime is 5301410405191. The next prime is 5301410405201. The reversal of 5301410405200 is 25040141035.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5301410405201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4285698982 + ... + 4285700218.

It is an arithmetic number, because the mean of its divisors is an integer number (32879046648).

Almost surely, 2^{5301410405200} is an apocalyptic number.

5301410405200 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 5301410405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7890971195520).

5301410405200 is an abundant number, since it is smaller than the sum of its proper divisors (10480531985840).

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

5301410405200 is a wasteful number, since it uses less digits than its factorization.

5301410405200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 5301410405200 its reverse (25040141035), we get a palindrome (5326450546235).

The spelling of 5301410405200 in words is "five trillion, three hundred one billion, four hundred ten million, four hundred five thousand, two hundred".