4204424244024 has 192 divisors, whose sum is σ = 11969973288000. Its totient is φ = 1330636032000.

The previous prime is 4204424244023. The next prime is 4204424244061.

4204424244024 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 4 + 242 + 4 + 402 + 4 = 666.

4204424244024 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4204424244024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4204424244023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 424641474 + ... + 424651374.

It is an arithmetic number, because the mean of its divisors is an integer number (62343610875).

Almost surely, 2^{4204424244024} 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 4204424244024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5984986644000).

4204424244024 is an abundant number, since it is smaller than the sum of its proper divisors (7765549043976).

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

4204424244024 is a wasteful number, since it uses less digits than its factorization.

4204424244024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11806 (or 11799 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

The spelling of 4204424244024 in words is "four trillion, two hundred four billion, four hundred twenty-four million, two hundred forty-four thousand, twenty-four".