71389408320 has 560 divisors, whose sum is σ = 283067516160. Its totient is φ = 16972333056.

The previous prime is 71389408297. The next prime is 71389408327. The reversal of 71389408320 is 2380498317.

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 (71389408327) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8367897 + ... + 8376423.

Almost surely, 2^71389408320 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 71389408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141533758080).

71389408320 is an abundant number, since it is smaller than the sum of its proper divisors (211678107840).

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

71389408320 is a wasteful number, since it uses less digits than its factorization.

71389408320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8592 (or 8573 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 71389408320 in words is "seventy-one billion, three hundred eighty-nine million, four hundred eight thousand, three hundred twenty".