41737542227761 has 2 divisors, whose sum is σ = 41737542227762. Its totient is φ = 41737542227760.

The previous prime is 41737542227729. The next prime is 41737542227783. The reversal of 41737542227761 is 16772224573714.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38621501744400 + 3116040483361 = 6214620^2 + 1765231^2 .

It is a cyclic number.

It is not a de Polignac number, because 41737542227761 - 2⁵ = 41737542227729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 41737542227696 and 41737542227705.

It is not a weakly prime, because it can be changed into another prime (41737542227701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20868771113880 + 20868771113881.

It is an arithmetic number, because the mean of its divisors is an integer number (20868771113881).

Almost surely, 2^{41737542227761} is an apocalyptic number.

It is an amenable number.

41737542227761 is a deficient number, since it is larger than the sum of its proper divisors (1).

41737542227761 is an equidigital number, since it uses as much as digits as its factorization.

41737542227761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27659520, while the sum is 58.

The spelling of 41737542227761 in words is "forty-one trillion, seven hundred thirty-seven billion, five hundred forty-two million, two hundred twenty-seven thousand, seven hundred sixty-one".