1041415121009 has 2 divisors, whose sum is σ = 1041415121010. Its totient is φ = 1041415121008.

The previous prime is 1041415121003. The next prime is 1041415121011. The reversal of 1041415121009 is 9001215141401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 817830835600 + 223584285409 = 904340^2 + 472847^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1041415121009 is a prime.

It is a super-2 number, since 2×1041415121009² (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 1041415121011, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1041415121003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 520707560504 + 520707560505.

It is an arithmetic number, because the mean of its divisors is an integer number (520707560505).

Almost surely, 2^{1041415121009} is an apocalyptic number.

It is an amenable number.

1041415121009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1041415121009 is an equidigital number, since it uses as much as digits as its factorization.

1041415121009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 29.

The spelling of 1041415121009 in words is "one trillion, forty-one billion, four hundred fifteen million, one hundred twenty-one thousand, nine".