1006711770444 has 48 divisors (see below), whose sum is σ = 2360282652000. Its totient is φ = 333961793536.

The previous prime is 1006711770443. The next prime is 1006711770457. The reversal of 1006711770444 is 4440771176001.

It is a junction number, because it is equal to n+sod(n) for n = 1006711770396 and 1006711770405.

It is not an unprimeable number, because it can be changed into a prime (1006711770443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1855774 + ... + 2336090.

It is an arithmetic number, because the mean of its divisors is an integer number (49172555250).

Almost surely, 2^{1006711770444} is an apocalyptic number.

It is an amenable number.

1006711770444 is an abundant number, since it is smaller than the sum of its proper divisors (1353570881556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1006711770444 is a wasteful number, since it uses less digits than its factorization.

1006711770444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481162 (or 481160 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 42.

The spelling of 1006711770444 in words is "one trillion, six billion, seven hundred eleven million, seven hundred seventy thousand, four hundred forty-four".