1971360000 has 405 divisors, whose sum is σ = 7299773481. Its totient is φ = 511488000.

The previous prime is 1971359989. The next prime is 1971360007. The reversal of 1971360000 is 631791.

The square root of 1971360000 is 44400.

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

It can be written as a sum of positive squares in 7 ways, for example, as 654541056 + 1316818944 = 25584^2 + 36288^2 .

It is not an unprimeable number, because it can be changed into a prime (1971360007) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 53279982 + ... + 53280018.

Almost surely, 2^1971360000 is an apocalyptic number.

1971360000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1971360000 is the 44400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1971360000

1971360000 is an abundant number, since it is smaller than the sum of its proper divisors (5328413481).

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

1971360000 is an frugal number, since it uses more digits than its factorization.

1971360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The cubic root of 1971360000 is about 1253.8780892298.

Adding to 1971360000 its reverse (631791), we get a palindrome (1971991791).

The spelling of 1971360000 in words is "one billion, nine hundred seventy-one million, three hundred sixty thousand".