71143188840 has 256 divisors, whose sum is σ = 253860480000. Its totient is φ = 17668088064.

The previous prime is 71143188817. The next prime is 71143188841. The reversal of 71143188840 is 4888134117.

It is a super-2 number, since 2×71143188840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (71143188841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1181299 + ... + 1240061.

It is an arithmetic number, because the mean of its divisors is an integer number (991642500).

Almost surely, 2^71143188840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71143188840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126930240000).

71143188840 is an abundant number, since it is smaller than the sum of its proper divisors (182717291160).

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

71143188840 is a wasteful number, since it uses less digits than its factorization.

71143188840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58861 (or 58851 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 71143188840 in words is "seventy-one billion, one hundred forty-three million, one hundred eighty-eight thousand, eight hundred forty".