512411004305440 has 96 divisors (see below), whose sum is σ = 1216080508734000. Its totient is φ = 204032028770304.

The previous prime is 512411004305437. The next prime is 512411004305461. The reversal of 512411004305440 is 44503400114215.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 39076851317904 + 473334152987536 = 6251148^2 + 21756244^2 .

It is a junction number, because it is equal to n+sod(n) for n = 512411004305396 and 512411004305405.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142761936 + ... + 146307184.

Almost surely, 2^{512411004305440} 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 512411004305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608040254367000).

512411004305440 is an abundant number, since it is smaller than the sum of its proper divisors (703669504428560).

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

512411004305440 is a wasteful number, since it uses less digits than its factorization.

512411004305440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3549374 (or 3549366 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

Adding to 512411004305440 its reverse (44503400114215), we get a palindrome (556914404419655).

The spelling of 512411004305440 in words is "five hundred twelve trillion, four hundred eleven billion, four million, three hundred five thousand, four hundred forty".