4107004440137 has 2 divisors, whose sum is σ = 4107004440138. Its totient is φ = 4107004440136.

The previous prime is 4107004440103. The next prime is 4107004440139. The reversal of 4107004440137 is 7310444007014.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2860735859641 + 1246268580496 = 1691371^2 + 1116364^2 .

It is a cyclic number.

It is not a de Polignac number, because 4107004440137 - 2¹⁰ = 4107004439113 is a prime.

Together with 4107004440139, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 4107004440097 and 4107004440106.

It is not a weakly prime, because it can be changed into another prime (4107004440139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2053502220068 + 2053502220069.

It is an arithmetic number, because the mean of its divisors is an integer number (2053502220069).

Almost surely, 2^{4107004440137} is an apocalyptic number.

It is an amenable number.

4107004440137 is a deficient number, since it is larger than the sum of its proper divisors (1).

4107004440137 is an equidigital number, since it uses as much as digits as its factorization.

4107004440137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 37632, while the sum is 35.

The spelling of 4107004440137 in words is "four trillion, one hundred seven billion, four million, four hundred forty thousand, one hundred thirty-seven".