4009664544 has 288 divisors, whose sum is σ = 11820997440. Its totient is φ = 1188255744.

The previous prime is 4009664537. The next prime is 4009664551. The reversal of 4009664544 is 4454669004.

4009664544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4009664537) and next prime (4009664551).

It is a junction number, because it is equal to n+sod(n) for n = 4009664496 and 4009664505.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67960387 + ... + 67960445.

It is an arithmetic number, because the mean of its divisors is an integer number (41045130).

Almost surely, 2^4009664544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4009664544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5910498720).

4009664544 is an abundant number, since it is smaller than the sum of its proper divisors (7811332896).

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

4009664544 is a wasteful number, since it uses less digits than its factorization.

4009664544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 4009664544 is about 63321.9120368297. The cubic root of 4009664544 is about 1588.6784826472.

The spelling of 4009664544 in words is "four billion, nine million, six hundred sixty-four thousand, five hundred forty-four".