1077091341312 has 176 divisors, whose sum is σ = 3282668766080. Its totient is φ = 307580239872.

The previous prime is 1077091341239. The next prime is 1077091341329. The reversal of 1077091341312 is 2131431907701.

It is a congruent number.

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, 44909868 + ... + 44933844.

It is an arithmetic number, because the mean of its divisors is an integer number (18651527080).

Almost surely, 2^{1077091341312} is an apocalyptic number.

1077091341312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1077091341312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641334383040).

1077091341312 is an abundant number, since it is smaller than the sum of its proper divisors (2205577424768).

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

1077091341312 is a wasteful number, since it uses less digits than its factorization.

1077091341312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26096 (or 26078 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The spelling of 1077091341312 in words is "one trillion, seventy-seven billion, ninety-one million, three hundred forty-one thousand, three hundred twelve".