10642621400393 has 2 divisors, whose sum is σ = 10642621400394. Its totient is φ = 10642621400392.

The previous prime is 10642621400267. The next prime is 10642621400423. The reversal of 10642621400393 is 39300412624601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9964357149769 + 678264250624 = 3156637^2 + 823568^2 .

It is a cyclic number.

It is not a de Polignac number, because 10642621400393 - 2¹⁸ = 10642621138249 is a prime.

It is a super-2 number, since 2×10642621400393² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10642621400393.

It is not a weakly prime, because it can be changed into another prime (10642621409393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5321310700196 + 5321310700197.

It is an arithmetic number, because the mean of its divisors is an integer number (5321310700197).

Almost surely, 2^{10642621400393} is an apocalyptic number.

It is an amenable number.

10642621400393 is a deficient number, since it is larger than the sum of its proper divisors (1).

10642621400393 is an equidigital number, since it uses as much as digits as its factorization.

10642621400393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 186624, while the sum is 41.

The spelling of 10642621400393 in words is "ten trillion, six hundred forty-two billion, six hundred twenty-one million, four hundred thousand, three hundred ninety-three".