4226564244240 has 240 divisors, whose sum is σ = 15344204908032. Its totient is φ = 1036428604416.

The previous prime is 4226564244181. The next prime is 4226564244269. The reversal of 4226564244240 is 424424656224.

It is a happy number.

4226564244240 is a `hidden beast` number, since 4 + 2 + 2 + 6 + 564 + 2 + 4 + 42 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1603209 + ... + 3320151.

Almost surely, 2^{4226564244240} is an apocalyptic number.

4226564244240 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 4226564244240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7672102454016).

4226564244240 is an abundant number, since it is smaller than the sum of its proper divisors (11117640663792).

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

4226564244240 is a wasteful number, since it uses less digits than its factorization.

4226564244240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717238 (or 1717229 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 45.

The spelling of 4226564244240 in words is "four trillion, two hundred twenty-six billion, five hundred sixty-four million, two hundred forty-four thousand, two hundred forty".