4224142441400 has 576 divisors, whose sum is σ = 12042514944000. Its totient is φ = 1372126694400.

The previous prime is 4224142441399. The next prime is 4224142441403. The reversal of 4224142441400 is 41442414224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4224142441403) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8298904346 + ... + 8298904854.

It is an arithmetic number, because the mean of its divisors is an integer number (20907144000).

Almost surely, 2^{4224142441400} is an apocalyptic number.

4224142441400 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 4224142441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6021257472000).

4224142441400 is an abundant number, since it is smaller than the sum of its proper divisors (7818372502600).

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

4224142441400 is a wasteful number, since it uses less digits than its factorization.

4224142441400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 4224142441400 its reverse (41442414224), we get a palindrome (4265584855624).

The spelling of 4224142441400 in words is "four trillion, two hundred twenty-four billion, one hundred forty-two million, four hundred forty-one thousand, four hundred".