10409128004461 has 2 divisors, whose sum is σ = 10409128004462. Its totient is φ = 10409128004460.

The previous prime is 10409128004449. The next prime is 10409128004477. The reversal of 10409128004461 is 16440082190401.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8529939407236 + 1879188597225 = 2920606^2 + 1370835^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10409128004461 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10409128074461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5204564002230 + 5204564002231.

It is an arithmetic number, because the mean of its divisors is an integer number (5204564002231).

Almost surely, 2^{10409128004461} is an apocalyptic number.

It is an amenable number.

10409128004461 is a deficient number, since it is larger than the sum of its proper divisors (1).

10409128004461 is an equidigital number, since it uses as much as digits as its factorization.

10409128004461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 10409128004461 in words is "ten trillion, four hundred nine billion, one hundred twenty-eight million, four thousand, four hundred sixty-one".