5141968416000 has 864 divisors, whose sum is σ = 20302293447072. Its totient is φ = 1241785958400.

The previous prime is 5141968415999. The next prime is 5141968416029. The reversal of 5141968416000 is 6148691415.

5141968416000 is a `hidden beast` number, since 5 + 141 + 96 + 8 + 416 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 3742460487936 + 1399507928064 = 1934544^2 + 1183008^2 .

It is a super-2 number, since 2×5141968416000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 198419044 + ... + 198444956.

It is an arithmetic number, because the mean of its divisors is an integer number (23498024823).

Almost surely, 2^{5141968416000} is an apocalyptic number.

5141968416000 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 5141968416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10151146723536).

5141968416000 is an abundant number, since it is smaller than the sum of its proper divisors (15160325031072).

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

5141968416000 is a wasteful number, since it uses less digits than its factorization.

5141968416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26016 (or 25989 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 5141968416000 in words is "five trillion, one hundred forty-one billion, nine hundred sixty-eight million, four hundred sixteen thousand".