10771040036744 has 64 divisors (see below), whose sum is σ = 21990511011840. Its totient is φ = 4916346140160.

The previous prime is 10771040036737. The next prime is 10771040036777. The reversal of 10771040036744 is 44763004017701.

It is a junction number, because it is equal to n+sod(n) for n = 10771040036695 and 10771040036704.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2831399 + ... + 5436809.

It is an arithmetic number, because the mean of its divisors is an integer number (343601734560).

Almost surely, 2^{10771040036744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10771040036744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10995255505920).

10771040036744 is an abundant number, since it is smaller than the sum of its proper divisors (11219470975096).

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

10771040036744 is a wasteful number, since it uses less digits than its factorization.

10771040036744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2605870 (or 2605866 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 44.

The spelling of 10771040036744 in words is "ten trillion, seven hundred seventy-one billion, forty million, thirty-six thousand, seven hundred forty-four".