4067623305216 has 288 divisors, whose sum is σ = 12106350940320. Its totient is φ = 1349781553152.

The previous prime is 4067623305199. The next prime is 4067623305247. The reversal of 4067623305216 is 6125033267604.

4067623305216 is a `hidden beast` number, since 4 + 0 + 6 + 7 + 623 + 3 + 0 + 5 + 2 + 16 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 824571486 + ... + 824576418.

It is an arithmetic number, because the mean of its divisors is an integer number (42035940765).

Almost surely, 2^{4067623305216} 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 4067623305216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6053175470160).

4067623305216 is an abundant number, since it is smaller than the sum of its proper divisors (8038727635104).

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

4067623305216 is an frugal number, since it uses more digits than its factorization.

4067623305216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5209 (or 5171 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 4067623305216 in words is "four trillion, sixty-seven billion, six hundred twenty-three million, three hundred five thousand, two hundred sixteen".