4085988480 has 576 divisors, whose sum is σ = 16978740480. Its totient is φ = 901877760.

The previous prime is 4085988463. The next prime is 4085988493. The reversal of 4085988480 is 848895804.

4085988480 is a `hidden beast` number, since 4 + 0 + 8 + 598 + 8 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8749207 + ... + 8749673.

It is an arithmetic number, because the mean of its divisors is an integer number (29476980).

Almost surely, 2^4085988480 is an apocalyptic number.

4085988480 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 4085988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8489370240).

4085988480 is an abundant number, since it is smaller than the sum of its proper divisors (12892752000).

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

4085988480 is a wasteful number, since it uses less digits than its factorization.

4085988480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The square root of 4085988480 is about 63921.7371478592. The cubic root of 4085988480 is about 1598.6953531412.

The spelling of 4085988480 in words is "four billion, eighty-five million, nine hundred eighty-eight thousand, four hundred eighty".