9240759990401 has 2 divisors, whose sum is σ = 9240759990402. Its totient is φ = 9240759990400.

The previous prime is 9240759990359. The next prime is 9240759990421. The reversal of 9240759990401 is 1040999570429.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6014339332225 + 3226420658176 = 2452415^2 + 1796224^2 .

It is a cyclic number.

It is not a de Polignac number, because 9240759990401 - 2³⁰ = 9239686248577 is a prime.

It is a super-2 number, since 2×9240759990401² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (9240759990421) 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 as a sum of consecutive naturals, namely, 4620379995200 + 4620379995201.

It is an arithmetic number, because the mean of its divisors is an integer number (4620379995201).

Almost surely, 2^{9240759990401} is an apocalyptic number.

It is an amenable number.

9240759990401 is a deficient number, since it is larger than the sum of its proper divisors (1).

9240759990401 is an equidigital number, since it uses as much as digits as its factorization.

9240759990401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7348320, while the sum is 59.

The spelling of 9240759990401 in words is "nine trillion, two hundred forty billion, seven hundred fifty-nine million, nine hundred ninety thousand, four hundred one".