4107401006773 has 2 divisors, whose sum is σ = 4107401006774. Its totient is φ = 4107401006772.

The previous prime is 4107401006743. The next prime is 4107401006791. The reversal of 4107401006773 is 3776001047014.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3333666143889 + 773734862884 = 1825833^2 + 879622^2 .

It is a cyclic number.

It is not a de Polignac number, because 4107401006773 - 2¹³ = 4107400998581 is a prime.

It is a super-3 number, since 3×4107401006773³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4107401006743) 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, 2053700503386 + 2053700503387.

It is an arithmetic number, because the mean of its divisors is an integer number (2053700503387).

Almost surely, 2^{4107401006773} is an apocalyptic number.

It is an amenable number.

4107401006773 is a deficient number, since it is larger than the sum of its proper divisors (1).

4107401006773 is an equidigital number, since it uses as much as digits as its factorization.

4107401006773 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 98784, while the sum is 40.

The spelling of 4107401006773 in words is "four trillion, one hundred seven billion, four hundred one million, six thousand, seven hundred seventy-three".