1940092408384 has 189 divisors, whose sum is σ = 4259413791417. Its totient is φ = 876372776448.

The previous prime is 1940092408381. The next prime is 1940092408391. The reversal of 1940092408384 is 4838042900491.

The square root of 1940092408384 is 1392872.

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., 286995918400 + 1653096489984 = 535720^2 + 1285728^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1940092408381) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 8546662479 + ... + 8546662705.

Almost surely, 2^{1940092408384} is an apocalyptic number.

1940092408384 is the 1392872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1940092408384

1940092408384 is an abundant number, since it is smaller than the sum of its proper divisors (2319321383033).

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

1940092408384 is an frugal number, since it uses more digits than its factorization.

1940092408384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 52.

The spelling of 1940092408384 in words is "one trillion, nine hundred forty billion, ninety-two million, four hundred eight thousand, three hundred eighty-four".