4609944009216 has 1920 divisors, whose sum is σ = 18338576256000. Its totient is φ = 1129872457728.

The previous prime is 4609944009199. The next prime is 4609944009227. The reversal of 4609944009216 is 6129004499064.

It is a happy number.

4609944009216 is a `hidden beast` number, since 4 + 60 + 9 + 94 + 400 + 92 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9871400215 + ... + 9871400681.

It is an arithmetic number, because the mean of its divisors is an integer number (9551341800).

Almost surely, 2^{4609944009216} 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 4609944009216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9169288128000).

4609944009216 is an abundant number, since it is smaller than the sum of its proper divisors (13728632246784).

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

4609944009216 is a wasteful number, since it uses less digits than its factorization.

4609944009216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 4609944009216 in words is "four trillion, six hundred nine billion, nine hundred forty-four million, nine thousand, two hundred sixteen".