1940816769424 has 135 divisors (see below), whose sum is σ = 4139661684483. Its totient is φ = 881083547136.

The previous prime is 1940816769413. The next prime is 1940816769427. The reversal of 1940816769424 is 4249676180491.

The square root of 1940816769424 is 1393132.

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 195247329424 + 1745569440000 = 441868^2 + 1321200^2 .

It is not an unprimeable number, because it can be changed into a prime (1940816769427) 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, 5288328889 + ... + 5288329255.

Almost surely, 2^{1940816769424} is an apocalyptic number.

1940816769424 is the 1393132-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1940816769424

1940816769424 is an abundant number, since it is smaller than the sum of its proper divisors (2198844915059).

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

1940816769424 is an frugal number, since it uses more digits than its factorization.

1940816769424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 61.

The spelling of 1940816769424 in words is "one trillion, nine hundred forty billion, eight hundred sixteen million, seven hundred sixty-nine thousand, four hundred twenty-four".