1071741741966 has 96 divisors (see below), whose sum is σ = 2770175236608. Its totient is φ = 292797426240.

The previous prime is 1071741741949. The next prime is 1071741741991. The reversal of 1071741741966 is 6691471471701.

1071741741966 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1071741741966² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8547720 + ... + 8672196.

It is an arithmetic number, because the mean of its divisors is an integer number (28855992048).

Almost surely, 2^{1071741741966} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1071741741966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385087618304).

1071741741966 is an abundant number, since it is smaller than the sum of its proper divisors (1698433494642).

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

1071741741966 is a wasteful number, since it uses less digits than its factorization.

1071741741966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127486 (or 127483 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 1071741741966 in words is "one trillion, seventy-one billion, seven hundred forty-one million, seven hundred forty-one thousand, nine hundred sixty-six".