4081604472 has 256 divisors, whose sum is σ = 13588992000. Its totient is φ = 1120521600.

The previous prime is 4081604459. The next prime is 4081604521. The reversal of 4081604472 is 2744061804.

4081604472 is a `hidden beast` number, since 4 + 0 + 8 + 1 + 604 + 47 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1036347 + ... + 1040277.

It is an arithmetic number, because the mean of its divisors is an integer number (53082000).

Almost surely, 2^4081604472 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 4081604472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6794496000).

4081604472 is an abundant number, since it is smaller than the sum of its proper divisors (9507387528).

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

4081604472 is a wasteful number, since it uses less digits than its factorization.

4081604472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3999 (or 3989 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4081604472 is about 63887.4359479233. The cubic root of 4081604472 is about 1598.1233820930.

The spelling of 4081604472 in words is "four billion, eighty-one million, six hundred four thousand, four hundred seventy-two".