71143107840 has 864 divisors, whose sum is σ = 300814335360. Its totient is φ = 15866855424.

The previous prime is 71143107811. The next prime is 71143107857. The reversal of 71143107840 is 4870134117.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×71143107840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 71143107795 and 71143107804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72817432 + ... + 72818408.

It is an arithmetic number, because the mean of its divisors is an integer number (348164740).

Almost surely, 2^71143107840 is an apocalyptic number.

71143107840 is a gapful number since it is divisible by the number (70) 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 71143107840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150407167680).

71143107840 is an abundant number, since it is smaller than the sum of its proper divisors (229671227520).

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

71143107840 is a wasteful number, since it uses less digits than its factorization.

71143107840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 71143107840 in words is "seventy-one billion, one hundred forty-three million, one hundred seven thousand, eight hundred forty".