4242200144 has 120 divisors (see below), whose sum is σ = 10303983360. Its totient is φ = 1656405504.

The previous prime is 4242200143. The next prime is 4242200161. The reversal of 4242200144 is 4410022424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4242200143) 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, 1493894 + ... + 1496730.

It is an arithmetic number, because the mean of its divisors is an integer number (85866528).

Almost surely, 2^4242200144 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 4242200144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5151991680).

4242200144 is an abundant number, since it is smaller than the sum of its proper divisors (6061783216).

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

4242200144 is a wasteful number, since it uses less digits than its factorization.

4242200144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2957 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 4242200144 is about 65132.1744148006. The cubic root of 4242200144 is about 1618.8143720340.

Adding to 4242200144 its reverse (4410022424), we get a palindrome (8652222568).

The spelling of 4242200144 in words is "four billion, two hundred forty-two million, two hundred thousand, one hundred forty-four".