4681841472 has 560 divisors, whose sum is σ = 17826703488. Its totient is φ = 1179463680.

The previous prime is 4681841467. The next prime is 4681841473. The reversal of 4681841472 is 2741481864.

4681841472 is a `hidden beast` number, since 468 + 184 + 1 + 4 + 7 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4681841473) 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, 14769058 + ... + 14769374.

Almost surely, 2^4681841472 is an apocalyptic number.

4681841472 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 4681841472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8913351744).

4681841472 is an abundant number, since it is smaller than the sum of its proper divisors (13144862016).

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

4681841472 is a wasteful number, since it uses less digits than its factorization.

4681841472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 377 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 4681841472 is about 68423.9831638001. The cubic root of 4681841472 is about 1672.9086809212.

It can be divided in two parts, 46818 and 41472, that multiplied together give a square (1941636096 = 44064²).

The spelling of 4681841472 in words is "four billion, six hundred eighty-one million, eight hundred forty-one thousand, four hundred seventy-two".