82742000041 has 16 divisors (see below), whose sum is σ = 88251601680. Its totient is φ = 77305835520.

The previous prime is 82742000039. The next prime is 82742000069. The reversal of 82742000041 is 14000024728.

82742000041 = T₂₃₄₈₆₃ + T₂₃₄₈₆₄ + T₂₃₄₈₆₅.

It can be written as a sum of positive squares in 8 ways, for example, as 4565840041 + 78176160000 = 67571^2 + 279600^2 .

It is a cyclic number.

It is not a de Polignac number, because 82742000041 - 2¹ = 82742000039 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82741999973 and 82742000009.

It is not an unprimeable number, because it can be changed into a prime (82742000021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1266895 + ... + 1330603.

It is an arithmetic number, because the mean of its divisors is an integer number (5515725105).

Almost surely, 2^82742000041 is an apocalyptic number.

82742000041 is the 234865-th centered triangular number.

It is an amenable number.

82742000041 is a deficient number, since it is larger than the sum of its proper divisors (5509601639).

82742000041 is a wasteful number, since it uses less digits than its factorization.

82742000041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64284.

The product of its (nonzero) digits is 3584, while the sum is 28.

Adding to 82742000041 its reverse (14000024728), we get a palindrome (96742024769).

The spelling of 82742000041 in words is "eighty-two billion, seven hundred forty-two million, forty-one", and thus it is an aban number.