4271971314816 has 512 divisors, whose sum is σ = 13057796505600. Its totient is φ = 1374124953600.

The previous prime is 4271971314799. The next prime is 4271971314829. The reversal of 4271971314816 is 6184131791724.

4271971314816 is a `hidden beast` number, since 4 + 2 + 71 + 97 + 1 + 3 + 1 + 481 + 6 = 666.

It is a super-3 number, since 3×4271971314816³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8700552331 + ... + 8700552821.

It is an arithmetic number, because the mean of its divisors is an integer number (25503508800).

Almost surely, 2^{4271971314816} 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 4271971314816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6528898252800).

4271971314816 is an abundant number, since it is smaller than the sum of its proper divisors (8785825190784).

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

4271971314816 is a wasteful number, since it uses less digits than its factorization.

4271971314816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1127 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The spelling of 4271971314816 in words is "four trillion, two hundred seventy-one billion, nine hundred seventy-one million, three hundred fourteen thousand, eight hundred sixteen".