514132534134400 has 384 divisors, whose sum is σ = 1401158429496000. Its totient is φ = 185536890470400.

The previous prime is 514132534134379. The next prime is 514132534134403. The reversal of 514132534134400 is 4431435231415.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (514132534134403) 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, 218114115 + ... + 220458685.

Almost surely, 2^{514132534134400} is an apocalyptic number.

514132534134400 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 514132534134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700579214748000).

514132534134400 is an abundant number, since it is smaller than the sum of its proper divisors (887025895361600).

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

514132534134400 is a wasteful number, since it uses less digits than its factorization.

514132534134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344780 (or 2344763 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

Adding to 514132534134400 its reverse (4431435231415), we get a palindrome (518563969365815).

The spelling of 514132534134400 in words is "five hundred fourteen trillion, one hundred thirty-two billion, five hundred thirty-four million, one hundred thirty-four thousand, four hundred".