71338002480 has 800 divisors, whose sum is σ = 269510250240. Its totient is φ = 17449205760.

The previous prime is 71338002467. The next prime is 71338002481. The reversal of 71338002480 is 8420083317.

71338002480 is a `hidden beast` number, since 71 + 33 + 80 + 0 + 2 + 480 = 666.

It is a super-2 number, since 2×71338002480² (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 not an unprimeable number, because it can be changed into a prime (71338002481) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 362121742 + ... + 362121938.

Almost surely, 2^71338002480 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 71338002480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134755125120).

71338002480 is an abundant number, since it is smaller than the sum of its proper divisors (198172247760).

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

71338002480 is a wasteful number, since it uses less digits than its factorization.

71338002480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 71338002480 its reverse (8420083317), we get a palindrome (79758085797).

The spelling of 71338002480 in words is "seventy-one billion, three hundred thirty-eight million, two thousand, four hundred eighty".