1380559200784 has 135 divisors (see below), whose sum is σ = 2926569805383. Its totient is φ = 630762568704.

The previous prime is 1380559200781. The next prime is 1380559200793. The reversal of 1380559200784 is 4870029550831.

It is a happy number.

The square root of 1380559200784 is 1174972.

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

It can be written as a sum of positive squares in 4 ways, for example, as 642197082384 + 738362118400 = 801372^2 + 859280^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1380559200781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2956229319 + ... + 2956229785.

Almost surely, 2^{1380559200784} is an apocalyptic number.

1380559200784 is the 1174972-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1380559200784

1380559200784 is an abundant number, since it is smaller than the sum of its proper divisors (1546010604599).

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

1380559200784 is an frugal number, since it uses more digits than its factorization.

1380559200784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 52.

The spelling of 1380559200784 in words is "one trillion, three hundred eighty billion, five hundred fifty-nine million, two hundred thousand, seven hundred eighty-four".