512445414205440 has 432 divisors, whose sum is σ = 1818308215547460. Its totient is φ = 133474110013440.

The previous prime is 512445414205409. The next prime is 512445414205457. The reversal of 512445414205440 is 44502414544215.

512445414205440 is a `hidden beast` number, since 5 + 1 + 2 + 4 + 45 + 41 + 4 + 20 + 544 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 493407062221824 + 19038351983616 = 22212768^2 + 4363296^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 168900220 + ... + 171907460.

Almost surely, 2^{512445414205440} 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 512445414205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909154107773730).

512445414205440 is an abundant number, since it is smaller than the sum of its proper divisors (1305862801342020).

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

512445414205440 is a wasteful number, since it uses less digits than its factorization.

512445414205440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3007360 (or 3007294 counting only the distinct ones).

The product of its (nonzero) digits is 2048000, while the sum is 45.

Adding to 512445414205440 its reverse (44502414544215), we get a palindrome (556947828749655).

The spelling of 512445414205440 in words is "five hundred twelve trillion, four hundred forty-five billion, four hundred fourteen million, two hundred five thousand, four hundred forty".