71142270000 has 300 divisors, whose sum is σ = 242416995480. Its totient is φ = 17970048000.

The previous prime is 71142269999. The next prime is 71142270007. The reversal of 71142270000 is 7224117.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×71142270000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (71142270007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10826716 + ... + 10833284.

Almost surely, 2^71142270000 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 71142270000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121208497740).

71142270000 is an abundant number, since it is smaller than the sum of its proper divisors (171274725480).

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

71142270000 is a wasteful number, since it uses less digits than its factorization.

71142270000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6638 (or 6598 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

Adding to 71142270000 its reverse (7224117), we get a palindrome (71149494117).

The spelling of 71142270000 in words is "seventy-one billion, one hundred forty-two million, two hundred seventy thousand".