4084088960 has 128 divisors (see below), whose sum is σ = 11284790400. Its totient is φ = 1384390656.

The previous prime is 4084088933. The next prime is 4084088963. The reversal of 4084088960 is 698804804.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (4084088963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 393599 + ... + 403841.

It is an arithmetic number, because the mean of its divisors is an integer number (88162425).

Almost surely, 2^4084088960 is an apocalyptic number.

4084088960 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 4084088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5642395200).

4084088960 is an abundant number, since it is smaller than the sum of its proper divisors (7200701440).

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

4084088960 is a wasteful number, since it uses less digits than its factorization.

4084088960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10358 (or 10346 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 47.

The square root of 4084088960 is about 63906.8772512004. The cubic root of 4084088960 is about 1598.4475775608.

The spelling of 4084088960 in words is "four billion, eighty-four million, eighty-eight thousand, nine hundred sixty".