71440140000 has 240 divisors, whose sum is σ = 235071465552. Its totient is φ = 18991104000.

The previous prime is 71440139977. The next prime is 71440140001. The reversal of 71440140000 is 4104417.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×71440140000³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71440140001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21178314 + ... + 21181686.

Almost surely, 2^71440140000 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 71440140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117535732776).

71440140000 is an abundant number, since it is smaller than the sum of its proper divisors (163631325552).

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

71440140000 is a wasteful number, since it uses less digits than its factorization.

71440140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3759 (or 3736 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

Adding to 71440140000 its reverse (4104417), we get a palindrome (71444244417).

The spelling of 71440140000 in words is "seventy-one billion, four hundred forty million, one hundred forty thousand".