10338670290401 has 2 divisors, whose sum is σ = 10338670290402. Its totient is φ = 10338670290400.

The previous prime is 10338670290397. The next prime is 10338670290449. The reversal of 10338670290401 is 10409207683301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10258440294400 + 80229996001 = 3202880^2 + 283249^2 .

It is a cyclic number.

It is not a de Polignac number, because 10338670290401 - 2² = 10338670290397 is a prime.

It is not a weakly prime, because it can be changed into another prime (10338670290101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5169335145200 + 5169335145201.

It is an arithmetic number, because the mean of its divisors is an integer number (5169335145201).

Almost surely, 2^{10338670290401} is an apocalyptic number.

It is an amenable number.

10338670290401 is a deficient number, since it is larger than the sum of its proper divisors (1).

10338670290401 is an equidigital number, since it uses as much as digits as its factorization.

10338670290401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 217728, while the sum is 44.

The spelling of 10338670290401 in words is "ten trillion, three hundred thirty-eight billion, six hundred seventy million, two hundred ninety thousand, four hundred one".