512214330400 has 36 divisors (see below), whose sum is σ = 1250443236042. Its totient is φ = 204885731840.

The previous prime is 512214330389. The next prime is 512214330401. The reversal of 512214330400 is 4033412215.

It can be written as a sum of positive squares in 3 ways, for example, as 394951916304 + 117262414096 = 628452^2 + 342436^2 .

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

It is not an unprimeable number, because it can be changed into a prime (512214330401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 320133157 + ... + 320134756.

Almost surely, 2^512214330400 is an apocalyptic number.

512214330400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

512214330400 is an abundant number, since it is smaller than the sum of its proper divisors (738228905642).

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

512214330400 is a wasteful number, since it uses less digits than its factorization.

512214330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640267933 (or 640267920 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 512214330400 its reverse (4033412215), we get a palindrome (516247742615).

The spelling of 512214330400 in words is "five hundred twelve billion, two hundred fourteen million, three hundred thirty thousand, four hundred".