4244042145200 has 240 divisors, whose sum is σ = 12113491874400. Its totient is φ = 1408565452800.

The previous prime is 4244042145181. The next prime is 4244042145227. The reversal of 4244042145200 is 25412404424.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4673966 + ... + 5507634.

It is an arithmetic number, because the mean of its divisors is an integer number (50472882810).

Almost surely, 2^{4244042145200} is an apocalyptic number.

4244042145200 is a gapful number since it is divisible by the number (40) 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 4244042145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6056745937200).

4244042145200 is an abundant number, since it is smaller than the sum of its proper divisors (7869449729200).

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

4244042145200 is a wasteful number, since it uses less digits than its factorization.

4244042145200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833800 (or 833789 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 32.

Adding to 4244042145200 its reverse (25412404424), we get a palindrome (4269454549624).

The spelling of 4244042145200 in words is "four trillion, two hundred forty-four billion, forty-two million, one hundred forty-five thousand, two hundred".