1711443141040 has 160 divisors (see below), whose sum is σ = 4136202766080. Its totient is φ = 658115447808.

The previous prime is 1711443141013. The next prime is 1711443141059. The reversal of 1711443141040 is 401413441171.

It is a super-2 number, since 2×1711443141040² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1711443140993 and 1711443141011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76793739 + ... + 76816021.

It is an arithmetic number, because the mean of its divisors is an integer number (25851267288).

Almost surely, 2^{1711443141040} is an apocalyptic number.

1711443141040 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 1711443141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068101383040).

1711443141040 is an abundant number, since it is smaller than the sum of its proper divisors (2424759625040).

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

1711443141040 is a wasteful number, since it uses less digits than its factorization.

1711443141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22691 (or 22685 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The spelling of 1711443141040 in words is "one trillion, seven hundred eleven billion, four hundred forty-three million, one hundred forty-one thousand, forty".