10442093400049 has 2 divisors, whose sum is σ = 10442093400050. Its totient is φ = 10442093400048.

The previous prime is 10442093400023. The next prime is 10442093400133. The reversal of 10442093400049 is 94000439024401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9805916473600 + 636176926449 = 3131440^2 + 797607^2 .

It is a cyclic number.

It is not a de Polignac number, because 10442093400049 - 2⁹ = 10442093399537 is a prime.

It is a super-3 number, since 3×10442093400049³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10442093399984 and 10442093400020.

It is not a weakly prime, because it can be changed into another prime (10442093400149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5221046700024 + 5221046700025.

It is an arithmetic number, because the mean of its divisors is an integer number (5221046700025).

Almost surely, 2^{10442093400049} is an apocalyptic number.

It is an amenable number.

10442093400049 is a deficient number, since it is larger than the sum of its proper divisors (1).

10442093400049 is an equidigital number, since it uses as much as digits as its factorization.

10442093400049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 10442093400049 in words is "ten trillion, four hundred forty-two billion, ninety-three million, four hundred thousand, forty-nine".