4008544960 has 224 divisors, whose sum is σ = 11338560000. Its totient is φ = 1348881408.

The previous prime is 4008544957. The next prime is 4008544963. The reversal of 4008544960 is 694458004.

It is an interprime number because it is at equal distance from previous prime (4008544957) and next prime (4008544963).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4008544963) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6475531 + ... + 6476149.

Almost surely, 2^4008544960 is an apocalyptic number.

4008544960 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 4008544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5669280000).

4008544960 is an abundant number, since it is smaller than the sum of its proper divisors (7330015040).

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

4008544960 is an equidigital number, since it uses as much as digits as its factorization.

4008544960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 4008544960 is about 63313.0710043353. The cubic root of 4008544960 is about 1588.5306045589.

The spelling of 4008544960 in words is "four billion, eight million, five hundred forty-four thousand, nine hundred sixty".