5142140442400 has 288 divisors, whose sum is σ = 13595789813760. Its totient is φ = 1887864852480.

The previous prime is 5142140442389. The next prime is 5142140442403. The reversal of 5142140442400 is 42440412415.

It is not an unprimeable number, because it can be changed into a prime (5142140442403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1786084161 + ... + 1786087039.

It is an arithmetic number, because the mean of its divisors is an integer number (47207603520).

Almost surely, 2^{5142140442400} is an apocalyptic number.

5142140442400 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 5142140442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6797894906880).

5142140442400 is an abundant number, since it is smaller than the sum of its proper divisors (8453649371360).

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

5142140442400 is a wasteful number, since it uses less digits than its factorization.

5142140442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3828 (or 3815 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 31.

Adding to 5142140442400 its reverse (42440412415), we get a palindrome (5184580854815).

The spelling of 5142140442400 in words is "five trillion, one hundred forty-two billion, one hundred forty million, four hundred forty-two thousand, four hundred".