512440421200 has 60 divisors (see below), whose sum is σ = 1235928780540. Its totient is φ = 204178554880.

The previous prime is 512440421167. The next prime is 512440421231. The reversal of 512440421200 is 2124044215.

It can be written as a sum of positive squares in 6 ways, for example, as 7692693264 + 504747727936 = 87708^2 + 710456^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2389615 + ... + 2595214.

It is an arithmetic number, because the mean of its divisors is an integer number (20598813009).

Almost surely, 2^512440421200 is an apocalyptic number.

512440421200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

512440421200 is an abundant number, since it is smaller than the sum of its proper divisors (723488359340).

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

512440421200 is a wasteful number, since it uses less digits than its factorization.

512440421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4985104 (or 4985093 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 512440421200 its reverse (2124044215), we get a palindrome (514564465415).

The spelling of 512440421200 in words is "five hundred twelve billion, four hundred forty million, four hundred twenty-one thousand, two hundred".