10407295629793 has 2 divisors, whose sum is σ = 10407295629794. Its totient is φ = 10407295629792.

The previous prime is 10407295629791. The next prime is 10407295629851. The reversal of 10407295629793 is 39792659270401.

10407295629793 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8939071469584 + 1468224160209 = 2989828^2 + 1211703^2 .

It is a cyclic number.

It is not a de Polignac number, because 10407295629793 - 2¹ = 10407295629791 is a prime.

Together with 10407295629791, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10407295629791) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5203647814896 + 5203647814897.

It is an arithmetic number, because the mean of its divisors is an integer number (5203647814897).

Almost surely, 2^{10407295629793} is an apocalyptic number.

It is an amenable number.

10407295629793 is a deficient number, since it is larger than the sum of its proper divisors (1).

10407295629793 is an equidigital number, since it uses as much as digits as its factorization.

10407295629793 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 51438240, while the sum is 64.

The spelling of 10407295629793 in words is "ten trillion, four hundred seven billion, two hundred ninety-five million, six hundred twenty-nine thousand, seven hundred ninety-three".