5064244130400 has 864 divisors, whose sum is σ = 20431282814208. Its totient is φ = 1066842316800.

The previous prime is 5064244130369. The next prime is 5064244130419. The reversal of 5064244130400 is 40314424605.

It is a happy number.

It is a super-2 number, since 2×5064244130400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2898822327 + ... + 2898824073.

It is an arithmetic number, because the mean of its divisors is an integer number (23647318072).

Almost surely, 2^{5064244130400} is an apocalyptic number.

5064244130400 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 5064244130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10215641407104).

5064244130400 is an abundant number, since it is smaller than the sum of its proper divisors (15367038683808).

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

5064244130400 is a wasteful number, since it uses less digits than its factorization.

5064244130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2824 (or 2798 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The spelling of 5064244130400 in words is "five trillion, sixty-four billion, two hundred forty-four million, one hundred thirty thousand, four hundred".