514052204240 has 80 divisors (see below), whose sum is σ = 1225232111376. Its totient is φ = 200456601600.

The previous prime is 514052204209. The next prime is 514052204257. The reversal of 514052204240 is 42402250415.

It can be written as a sum of positive squares in 8 ways, for example, as 77892344464 + 436159859776 = 279092^2 + 660424^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4406504 + ... + 4521656.

Almost surely, 2^514052204240 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 514052204240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612616055688).

514052204240 is an abundant number, since it is smaller than the sum of its proper divisors (711179907136).

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

514052204240 is a wasteful number, since it uses less digits than its factorization.

514052204240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116568 (or 116562 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 29.

Adding to 514052204240 its reverse (42402250415), we get a palindrome (556454454655).

The spelling of 514052204240 in words is "five hundred fourteen billion, fifty-two million, two hundred four thousand, two hundred forty".