514021400512 has 112 divisors (see below), whose sum is σ = 1080137560320. Its totient is φ = 242214838272.

The previous prime is 514021400483. The next prime is 514021400533. The reversal of 514021400512 is 215004120415.

It is a super-3 number, since 3×514021400512³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32404039 + ... + 32419897.

It is an arithmetic number, because the mean of its divisors is an integer number (9644085360).

Almost surely, 2^514021400512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514021400512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540068780160).

514021400512 is an abundant number, since it is smaller than the sum of its proper divisors (566116159808).

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

514021400512 is a wasteful number, since it uses less digits than its factorization.

514021400512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16218 (or 16208 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 514021400512 its reverse (215004120415), we get a palindrome (729025520927).

The spelling of 514021400512 in words is "five hundred fourteen billion, twenty-one million, four hundred thousand, five hundred twelve".