4009327616 has 176 divisors, whose sum is σ = 9706120704. Its totient is φ = 1618231296.

The previous prime is 4009327577. The next prime is 4009327627. The reversal of 4009327616 is 6167239004.

It is a self number, because there is not a number n which added to its sum of digits gives 4009327616.

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 15 ways as a sum of consecutive naturals, for example, 13683566 + ... + 13683858.

Almost surely, 2^4009327616 is an apocalyptic number.

4009327616 is a gapful number since it is divisible by the number (46) 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 4009327616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4853060352).

4009327616 is an abundant number, since it is smaller than the sum of its proper divisors (5696793088).

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

4009327616 is a wasteful number, since it uses less digits than its factorization.

4009327616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 4009327616 is about 63319.2515432708. The cubic root of 4009327616 is about 1588.6339830595.

The spelling of 4009327616 in words is "four billion, nine million, three hundred twenty-seven thousand, six hundred sixteen".