4241335564224 has 168 divisors, whose sum is σ = 13319130447792. Its totient is φ = 1279736647680.

The previous prime is 4241335564223. The next prime is 4241335564247. The reversal of 4241335564224 is 4224655331424.

4241335564224 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 33 + 556 + 42 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4241335564224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4241335564223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39802 + ... + 2912774.

Almost surely, 2^{4241335564224} is an apocalyptic number.

4241335564224 is a gapful number since it is divisible by the number (44) 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 4241335564224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6659565223896).

4241335564224 is an abundant number, since it is smaller than the sum of its proper divisors (9077794883568).

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

4241335564224 is a wasteful number, since it uses less digits than its factorization.

4241335564224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2873235 (or 2873222 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 45.

The spelling of 4241335564224 in words is "four trillion, two hundred forty-one billion, three hundred thirty-five million, five hundred sixty-four thousand, two hundred twenty-four".