1322962340401 has 27 divisors (see below), whose sum is σ = 1448286216939. Its totient is φ = 1207931888592.

The previous prime is 1322962340393. The next prime is 1322962340443. The reversal of 1322962340401 is 1040432692231.

The square root of 1322962340401 is 1150201.

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., 195704488225 + 1127257852176 = 442385^2 + 1061724^2 .

It is not a de Polignac number, because 1322962340401 - 2³ = 1322962340393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1322962340801) 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, 1540118710 + ... + 1540119568.

It is an arithmetic number, because the mean of its divisors is an integer number (53640230257).

Almost surely, 2^{1322962340401} is an apocalyptic number.

1322962340401 is the 1150201-st square number.

1322962340401 is the 575101-st centered octagonal number.

It is an amenable number.

1322962340401 is a deficient number, since it is larger than the sum of its proper divisors (125323876538).

1322962340401 is an frugal number, since it uses more digits than its factorization.

1322962340401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 1322962340401 in words is "one trillion, three hundred twenty-two billion, nine hundred sixty-two million, three hundred forty thousand, four hundred one".