512005213440 has 216 divisors, whose sum is σ = 2024554267008. Its totient is φ = 117029744640.

The previous prime is 512005213411. The next prime is 512005213469. The reversal of 512005213440 is 44312500215.

512005213440 is a `hidden beast` number, since 5 + 1 + 2 + 0 + 0 + 5 + 213 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (512005213411) and next prime (512005213469).

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 23 ways as a sum of consecutive naturals, for example, 3093996 + ... + 3255275.

Almost surely, 2^512005213440 is an apocalyptic number.

It is an amenable number.

512005213440 is an abundant number, since it is smaller than the sum of its proper divisors (1512549053568).

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

512005213440 is a wasteful number, since it uses less digits than its factorization.

512005213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6349305 (or 6349288 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 512005213440 its reverse (44312500215), we get a palindrome (556317713655).

The spelling of 512005213440 in words is "five hundred twelve billion, five million, two hundred thirteen thousand, four hundred forty".