514342340400000 has 768 divisors, whose sum is σ = 2014577098813440. Its totient is φ = 113771520000000.

The previous prime is 514342340399989. The next prime is 514342340400001. The reversal of 514342340400000 is 4043243415.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514342340400001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 259412400 + ... + 261387600.

It is an arithmetic number, because the mean of its divisors is an integer number (2623147264080).

Almost surely, 2^{514342340400000} is an apocalyptic number.

514342340400000 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 514342340400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007288549406720).

514342340400000 is an abundant number, since it is smaller than the sum of its proper divisors (1500234758413440).

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

514342340400000 is an equidigital number, since it uses as much as digits as its factorization.

514342340400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975281 (or 1975249 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 514342340400000 its reverse (4043243415), we get a palindrome (514346383643415).

The spelling of 514342340400000 in words is "five hundred fourteen trillion, three hundred forty-two billion, three hundred forty million, four hundred thousand".