4201240420224 has 192 divisors, whose sum is σ = 12146949500400. Its totient is φ = 1393766645760.

The previous prime is 4201240420189. The next prime is 4201240420249. The reversal of 4201240420224 is 4220240421024.

4201240420224 is a `hidden beast` number, since 4 + 2 + 0 + 12 + 4 + 0 + 420 + 224 = 666.

4201240420224 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 (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 611619862 + ... + 611626730.

Almost surely, 2^{4201240420224} 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 4201240420224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6073474750200).

4201240420224 is an abundant number, since it is smaller than the sum of its proper divisors (7945709080176).

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

4201240420224 is a wasteful number, since it uses less digits than its factorization.

4201240420224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9333 (or 9318 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 4201240420224 its reverse (4220240421024), we get a palindrome (8421480841248).

The spelling of 4201240420224 in words is "four trillion, two hundred one billion, two hundred forty million, four hundred twenty thousand, two hundred twenty-four".