1017233616400 has 135 divisors (see below), whose sum is σ = 2465858358093. Its totient is φ = 403270627200.

The previous prime is 1017233616359. The next prime is 1017233616419. The reversal of 1017233616400 is 46163327101.

The square root of 1017233616400 is 1008580.

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

It can be written as a sum of positive squares in only one way, i.e., 366204101904 + 651029514496 = 605148^2 + 806864^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4256207481 + ... + 4256207719.

Almost surely, 2^{1017233616400} is an apocalyptic number.

1017233616400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1017233616400 is the 1008580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1017233616400

1017233616400 is an abundant number, since it is smaller than the sum of its proper divisors (1448624741693).

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

1017233616400 is an frugal number, since it uses more digits than its factorization.

1017233616400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The spelling of 1017233616400 in words is "one trillion, seventeen billion, two hundred thirty-three million, six hundred sixteen thousand, four hundred".