4009624416 has 288 divisors, whose sum is σ = 14228847360. Its totient is φ = 1085031936.

The previous prime is 4009624391. The next prime is 4009624427. The reversal of 4009624416 is 6144269004.

4009624416 is a `hidden beast` number, since 400 + 9 + 6 + 244 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 1032270 + ... + 1036146.

It is an arithmetic number, because the mean of its divisors is an integer number (49405720).

Almost surely, 2^4009624416 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 4009624416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7114423680).

4009624416 is an abundant number, since it is smaller than the sum of its proper divisors (10219222944).

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

4009624416 is a wasteful number, since it uses less digits than its factorization.

4009624416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3928 (or 3908 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4009624416 is about 63321.5951788961. The cubic root of 4009624416 is about 1588.6731828936.

The spelling of 4009624416 in words is "four billion, nine million, six hundred twenty-four thousand, four hundred sixteen".