71409317316480 has 3072 divisors, whose sum is σ = 334871629747200. Its totient is φ = 14246726860800.

The previous prime is 71409317316349. The next prime is 71409317316481. The reversal of 71409317316480 is 8461371390417.

71409317316480 is a `hidden beast` number, since 7 + 1 + 4 + 0 + 9 + 317 + 316 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71409317316481) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7183308310 + ... + 7183318250.

It is an arithmetic number, because the mean of its divisors is an integer number (109007691975).

Almost surely, 2^{71409317316480} 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 71409317316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167435814873600).

71409317316480 is an abundant number, since it is smaller than the sum of its proper divisors (263462312430720).

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

71409317316480 is a wasteful number, since it uses less digits than its factorization.

71409317316480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10035 (or 10011 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 71409317316480 in words is "seventy-one trillion, four hundred nine billion, three hundred seventeen million, three hundred sixteen thousand, four hundred eighty".