5144218931400 has 192 divisors, whose sum is σ = 16013338830720. Its totient is φ = 1366095667200.

The previous prime is 5144218931359. The next prime is 5144218931419. The reversal of 5144218931400 is 41398124415.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 833338714 + ... + 833344886.

It is an arithmetic number, because the mean of its divisors is an integer number (83402806410).

Almost surely, 2^{5144218931400} is an apocalyptic number.

5144218931400 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 5144218931400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8006669415360).

5144218931400 is an abundant number, since it is smaller than the sum of its proper divisors (10869119899320).

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

5144218931400 is a wasteful number, since it uses less digits than its factorization.

5144218931400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11736 (or 11727 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 5144218931400 in words is "five trillion, one hundred forty-four billion, two hundred eighteen million, nine hundred thirty-one thousand, four hundred".