5141350843200 has 4032 divisors, whose sum is σ = 24345188474880. Its totient is φ = 1048080384000.

The previous prime is 5141350843171. The next prime is 5141350843241. The reversal of 5141350843200 is 23480531415.

5141350843200 is a `hidden beast` number, since 5 + 141 + 3 + 508 + 4 + 3 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 32747457522 + ... + 32747457678.

Almost surely, 2^{5141350843200} is an apocalyptic number.

5141350843200 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 5141350843200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12172594237440).

5141350843200 is an abundant number, since it is smaller than the sum of its proper divisors (19203837631680).

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

5141350843200 is a wasteful number, since it uses less digits than its factorization.

5141350843200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 5141350843200 in words is "five trillion, one hundred forty-one billion, three hundred fifty million, eight hundred forty-three thousand, two hundred".