5142141030312 has 768 divisors, whose sum is σ = 18179447569920. Its totient is φ = 1287556300800.

The previous prime is 5142141030253. The next prime is 5142141030319. The reversal of 5142141030312 is 2130301412415.

5142141030312 is a `hidden beast` number, since 514 + 2 + 14 + 103 + 0 + 31 + 2 = 666.

It is a super-2 number, since 2×5142141030312² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5142141030319) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 728654688 + ... + 728661744.

It is an arithmetic number, because the mean of its divisors is an integer number (23671155690).

Almost surely, 2^{5142141030312} is an apocalyptic number.

5142141030312 is a gapful number since it is divisible by the number (52) 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 5142141030312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9089723784960).

5142141030312 is an abundant number, since it is smaller than the sum of its proper divisors (13037306539608).

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

5142141030312 is a wasteful number, since it uses less digits than its factorization.

5142141030312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7314 (or 7307 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 5142141030312 its reverse (2130301412415), we get a palindrome (7272442442727).

The spelling of 5142141030312 in words is "five trillion, one hundred forty-two billion, one hundred forty-one million, thirty thousand, three hundred twelve".