1034004100741 has 2 divisors, whose sum is σ = 1034004100742. Its totient is φ = 1034004100740.

The previous prime is 1034004100739. The next prime is 1034004100757. The reversal of 1034004100741 is 1470014004301.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 898237644516 + 135766456225 = 947754^2 + 368465^2 .

It is a cyclic number.

It is not a de Polignac number, because 1034004100741 - 2¹ = 1034004100739 is a prime.

Together with 1034004100739, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1034004100781) 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, 517002050370 + 517002050371.

It is an arithmetic number, because the mean of its divisors is an integer number (517002050371).

Almost surely, 2^{1034004100741} is an apocalyptic number.

It is an amenable number.

1034004100741 is a deficient number, since it is larger than the sum of its proper divisors (1).

1034004100741 is an equidigital number, since it uses as much as digits as its factorization.

1034004100741 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 25.

The spelling of 1034004100741 in words is "one trillion, thirty-four billion, four million, one hundred thousand, seven hundred forty-one".