4081596480 has 280 divisors, whose sum is σ = 15637090392. Its totient is φ = 1004617728.

The previous prime is 4081596479. The next prime is 4081596509. The reversal of 4081596480 is 846951804.

4081596480 is a `hidden beast` number, since 4 + 0 + 81 + 5 + 96 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2985984 + 4078610496 = 1728^2 + 63864^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 330904 + ... + 343016.

Almost surely, 2^4081596480 is an apocalyptic number.

4081596480 is a gapful number since it is divisible by the number (40) 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 4081596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7818545196).

4081596480 is an abundant number, since it is smaller than the sum of its proper divisors (11555493912).

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

4081596480 is a wasteful number, since it uses less digits than its factorization.

4081596480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12155 (or 12136 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 4081596480 is about 63887.3734003833. The cubic root of 4081596480 is about 1598.1223390219.

The spelling of 4081596480 in words is "four billion, eighty-one million, five hundred ninety-six thousand, four hundred eighty".