1326921990241 has 27 divisors (see below), whose sum is σ = 1379393687763. Its totient is φ = 1276420621680.

The previous prime is 1326921990193. The next prime is 1326921990283. The reversal of 1326921990241 is 1420991296231.

It is a happy number.

The square root of 1326921990241 is 1151921.

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., 1187348019025 + 139573971216 = 1089655^2 + 373596^2 .

It is not a de Polignac number, because 1326921990241 - 2⁷ = 1326921990113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1326921990041) 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, 6947235456 + ... + 6947235646.

Almost surely, 2^{1326921990241} is an apocalyptic number.

1326921990241 is the 1151921-st square number.

1326921990241 is the 575961-st centered octagonal number.

It is an amenable number.

1326921990241 is a deficient number, since it is larger than the sum of its proper divisors (52471697522).

1326921990241 is an frugal number, since it uses more digits than its factorization.

1326921990241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 49.

Multiplying 1326921990241 by its sum of digits (49), we get a square (65019177521809 = 8063447²).

The spelling of 1326921990241 in words is "one trillion, three hundred twenty-six billion, nine hundred twenty-one million, nine hundred ninety thousand, two hundred forty-one".