1024573132944 has 225 divisors, whose sum is σ = 3067538170851. Its totient is φ = 330143065920.

The previous prime is 1024573132909. The next prime is 1024573132963. The reversal of 1024573132944 is 4492313754201.

The square root of 1024573132944 is 1012212.

It is a perfect power (a square), and thus also a powerful number.

1024573132944 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 573 + 1 + 32 + 9 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1024573132944.

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 44 ways as a sum of consecutive naturals, for example, 1129628139 + ... + 1129629045.

Almost surely, 2^{1024573132944} is an apocalyptic number.

1024573132944 is the 1012212-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1024573132944

1024573132944 is an abundant number, since it is smaller than the sum of its proper divisors (2042965037907).

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

1024573132944 is an frugal number, since it uses more digits than its factorization.

1024573132944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 1024573132944 in words is "one trillion, twenty-four billion, five hundred seventy-three million, one hundred thirty-two thousand, nine hundred forty-four".