4224324442400 has 144 divisors (see below), whose sum is σ = 10650183844608. Its totient is φ = 1634471808000.

The previous prime is 4224324442361. The next prime is 4224324442423. The reversal of 4224324442400 is 42444234224.

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, 55588430 + ... + 55664370.

It is an arithmetic number, because the mean of its divisors is an integer number (73959610032).

Almost surely, 2^{4224324442400} is an apocalyptic number.

4224324442400 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 4224324442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5325091922304).

4224324442400 is an abundant number, since it is smaller than the sum of its proper divisors (6425859402208).

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

4224324442400 is a wasteful number, since it uses less digits than its factorization.

4224324442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78235 (or 78222 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 35.

Adding to 4224324442400 its reverse (42444234224), we get a palindrome (4266768676624).

The spelling of 4224324442400 in words is "four trillion, two hundred twenty-four billion, three hundred twenty-four million, four hundred forty-two thousand, four hundred".