4075488000 has 576 divisors, whose sum is σ = 15496790400. Its totient is φ = 1054310400.

The previous prime is 4075487987. The next prime is 4075488007. The reversal of 4075488000 is 8845704.

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

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

It is not an unprimeable number, because it can be changed into a prime (4075488007) 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 63 ways as a sum of consecutive naturals, for example, 45791956 + ... + 45792044.

It is an arithmetic number, because the mean of its divisors is an integer number (26904150).

Almost surely, 2^4075488000 is an apocalyptic number.

4075488000 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 4075488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7748395200).

4075488000 is an abundant number, since it is smaller than the sum of its proper divisors (11421302400).

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

4075488000 is an equidigital number, since it uses as much as digits as its factorization.

4075488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 4075488000 is about 63839.5488705865. The cubic root of 4075488000 is about 1597.3246958773.

The spelling of 4075488000 in words is "four billion, seventy-five million, four hundred eighty-eight thousand".