1071341741760 has 224 divisors, whose sum is σ = 3418383596544. Its totient is φ = 284276736000.

The previous prime is 1071341741747. The next prime is 1071341741773. The reversal of 1071341741760 is 671471431701.

1071341741760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1071341741747) and next prime (1071341741773).

It is a super-2 number, since 2×1071341741760² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252613240 + ... + 252617480.

It is an arithmetic number, because the mean of its divisors is an integer number (15260641056).

Almost surely, 2^{1071341741760} is an apocalyptic number.

1071341741760 is a gapful number since it is divisible by the number (10) 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 1071341741760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709191798272).

1071341741760 is an abundant number, since it is smaller than the sum of its proper divisors (2347041854784).

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

1071341741760 is a wasteful number, since it uses less digits than its factorization.

1071341741760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5503 (or 5493 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The spelling of 1071341741760 in words is "one trillion, seventy-one billion, three hundred forty-one million, seven hundred forty-one thousand, seven hundred sixty".