1963420290841 has 9 divisors (see below), whose sum is σ = 1971124792221. Its totient is φ = 1955745803424.

The previous prime is 1963420290829. The next prime is 1963420290877. The reversal of 1963420290841 is 1480920243691.

It is a happy number.

The square root of 1963420290841 is 1401221.

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 28483650441 + 1934936640400 = 168771^2 + 1391020^2 .

It is not a de Polignac number, because 1963420290841 - 2⁹ = 1963420290329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1963420290941) 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 8 ways as a sum of consecutive naturals, for example, 376925845 + ... + 376931053.

Almost surely, 2^{1963420290841} is an apocalyptic number.

1963420290841 is the 1401221-st square number.

1963420290841 is the 700611-st centered octagonal number.

It is an amenable number.

1963420290841 is a deficient number, since it is larger than the sum of its proper divisors (7704501380).

1963420290841 is an frugal number, since it uses more digits than its factorization.

1963420290841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10956 (or 5478 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

Multiplying 1963420290841 by its sum of digits (49), we get a square (96207594251209 = 9808547²).

The spelling of 1963420290841 in words is "one trillion, nine hundred sixty-three billion, four hundred twenty million, two hundred ninety thousand, eight hundred forty-one".