4220668193280 has 640 divisors, whose sum is σ = 17365110276096. Its totient is φ = 848727244800.

The previous prime is 4220668193279. The next prime is 4220668193299. The reversal of 4220668193280 is 823918660224.

It is a happy number.

4220668193280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18217044 + ... + 18447276.

Almost surely, 2^{4220668193280} is an apocalyptic number.

4220668193280 is a gapful number since it is divisible by the number (40) 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 4220668193280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8682555138048).

4220668193280 is an abundant number, since it is smaller than the sum of its proper divisors (13144442082816).

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

4220668193280 is a wasteful number, since it uses less digits than its factorization.

4220668193280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230308 (or 230292 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 4220668193280 in words is "four trillion, two hundred twenty billion, six hundred sixty-eight million, one hundred ninety-three thousand, two hundred eighty".