10412400400049 has 2 divisors, whose sum is σ = 10412400400050. Its totient is φ = 10412400400048.

The previous prime is 10412400399991. The next prime is 10412400400097. The reversal of 10412400400049 is 94000400421401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9952352920225 + 460047479824 = 3154735^2 + 678268^2 .

It is an emirp because it is prime and its reverse (94000400421401) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10412400400049 - 2²⁴ = 10412383622833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10412400399994 and 10412400400030.

It is not a weakly prime, because it can be changed into another prime (10412400406049) 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, 5206200200024 + 5206200200025.

It is an arithmetic number, because the mean of its divisors is an integer number (5206200200025).

Almost surely, 2^{10412400400049} is an apocalyptic number.

It is an amenable number.

10412400400049 is a deficient number, since it is larger than the sum of its proper divisors (1).

10412400400049 is an equidigital number, since it uses as much as digits as its factorization.

10412400400049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 29.

The spelling of 10412400400049 in words is "ten trillion, four hundred twelve billion, four hundred million, four hundred thousand, forty-nine".