4434242320400 has 240 divisors, whose sum is σ = 11207521809600. Its totient is φ = 1683594823680.

The previous prime is 4434242320399. The next prime is 4434242320423. The reversal of 4434242320400 is 40232424344.

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, 406470146 + ... + 406481054.

It is an arithmetic number, because the mean of its divisors is an integer number (46698007540).

Almost surely, 2^{4434242320400} is an apocalyptic number.

4434242320400 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 4434242320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5603760904800).

4434242320400 is an abundant number, since it is smaller than the sum of its proper divisors (6773279489200).

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

4434242320400 is a wasteful number, since it uses less digits than its factorization.

4434242320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11546 (or 11535 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 4434242320400 its reverse (40232424344), we get a palindrome (4474474744744).

The spelling of 4434242320400 in words is "four trillion, four hundred thirty-four billion, two hundred forty-two million, three hundred twenty thousand, four hundred".