512450315040 has 192 divisors, whose sum is σ = 1712953267200. Its totient is φ = 128496344064.

The previous prime is 512450314931. The next prime is 512450315089. The reversal of 512450315040 is 40513054215.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 512450314989 and 512450315007.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 257991 + ... + 1044729.

It is an arithmetic number, because the mean of its divisors is an integer number (8921631600).

Almost surely, 2^512450315040 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 512450315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856476633600).

512450315040 is an abundant number, since it is smaller than the sum of its proper divisors (1200502952160).

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

512450315040 is a wasteful number, since it uses less digits than its factorization.

512450315040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786839 (or 786831 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 512450315040 its reverse (40513054215), we get a palindrome (552963369255).

The spelling of 512450315040 in words is "five hundred twelve billion, four hundred fifty million, three hundred fifteen thousand, forty".