5141134442400 has 864 divisors, whose sum is σ = 18865906504704. Its totient is φ = 1215507532800.

The previous prime is 5141134442387. The next prime is 5141134442417. The reversal of 5141134442400 is 42444311415.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 18166552659 + ... + 18166552941.

It is an arithmetic number, because the mean of its divisors is an integer number (21835539936).

Almost surely, 2^{5141134442400} is an apocalyptic number.

5141134442400 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 5141134442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9432953252352).

5141134442400 is an abundant number, since it is smaller than the sum of its proper divisors (13724772062304).

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

5141134442400 is an equidigital number, since it uses as much as digits as its factorization.

5141134442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

Adding to 5141134442400 its reverse (42444311415), we get a palindrome (5183578753815).

The spelling of 5141134442400 in words is "five trillion, one hundred forty-one billion, one hundred thirty-four million, four hundred forty-two thousand, four hundred".