4089288000 has 448 divisors, whose sum is σ = 15649261056. Its totient is φ = 921600000.

The previous prime is 4089287963. The next prime is 4089288011. The reversal of 4089288000 is 8829804.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 4089288000.

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, 16967880 + ... + 16968120.

Almost surely, 2^4089288000 is an apocalyptic number.

4089288000 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 4089288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7824630528).

4089288000 is an abundant number, since it is smaller than the sum of its proper divisors (11559973056).

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

4089288000 is a wasteful number, since it uses less digits than its factorization.

4089288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 4089288000 is about 63947.5410004169. The cubic root of 4089288000 is about 1599.1255638546.

The spelling of 4089288000 in words is "four billion, eighty-nine million, two hundred eighty-eight thousand".