5119414140800 has 384 divisors, whose sum is σ = 13079296800000. Its totient is φ = 1979143372800.

The previous prime is 5119414140749. The next prime is 5119414140829. The reversal of 5119414140800 is 80414149115.

It is a super-2 number, since 2×5119414140800² (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 47 ways as a sum of consecutive naturals, for example, 3343836035 + ... + 3343837565.

It is an arithmetic number, because the mean of its divisors is an integer number (34060668750).

Almost surely, 2^{5119414140800} is an apocalyptic number.

5119414140800 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 5119414140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6539648400000).

5119414140800 is an abundant number, since it is smaller than the sum of its proper divisors (7959882659200).

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

5119414140800 is a wasteful number, since it uses less digits than its factorization.

5119414140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 38.

Adding to 5119414140800 its reverse (80414149115), we get a palindrome (5199828289915).

The spelling of 5119414140800 in words is "five trillion, one hundred nineteen billion, four hundred fourteen million, one hundred forty thousand, eight hundred".