4200224544 has 240 divisors, whose sum is σ = 13172544000. Its totient is φ = 1308358656.

The previous prime is 4200224543. The next prime is 4200224593. The reversal of 4200224544 is 4454220024.

4200224544 is a `hidden beast` number, since 4 + 200 + 2 + 2 + 454 + 4 = 666.

4200224544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4200224543) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8768497 + ... + 8768975.

It is an arithmetic number, because the mean of its divisors is an integer number (54885600).

Almost surely, 2^4200224544 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 4200224544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6586272000).

4200224544 is an abundant number, since it is smaller than the sum of its proper divisors (8972319456).

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

4200224544 is a wasteful number, since it uses less digits than its factorization.

4200224544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 4200224544 is about 64809.1393554952. The cubic root of 4200224544 is about 1613.4573983472.

Adding to 4200224544 its reverse (4454220024), we get a palindrome (8654444568).

The spelling of 4200224544 in words is "four billion, two hundred million, two hundred twenty-four thousand, five hundred forty-four".