4771047137472 has 2520 divisors, whose sum is σ = 20030067221472. Its totient is φ = 1112816517120.

The previous prime is 4771047137443. The next prime is 4771047137503. The reversal of 4771047137472 is 2747317401774.

4771047137472 is a `hidden beast` number, since 4 + 7 + 71 + 0 + 4 + 71 + 37 + 472 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 12017750778 + ... + 12017751174.

Almost surely, 2^{4771047137472} is an apocalyptic number.

4771047137472 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4771047137472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10015033610736).

4771047137472 is an abundant number, since it is smaller than the sum of its proper divisors (15259020084000).

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

4771047137472 is a wasteful number, since it uses less digits than its factorization.

4771047137472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 6453888, while the sum is 54.

The spelling of 4771047137472 in words is "four trillion, seven hundred seventy-one billion, forty-seven million, one hundred thirty-seven thousand, four hundred seventy-two".