424321044400 has 240 divisors, whose sum is σ = 1122193219680. Its totient is φ = 152905523200.

The previous prime is 424321044383. The next prime is 424321044401. The reversal of 424321044400 is 4440123424.

It is not an unprimeable number, because it can be changed into a prime (424321044401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296106084 + ... + 296107516.

It is an arithmetic number, because the mean of its divisors is an integer number (4675805082).

Almost surely, 2^424321044400 is an apocalyptic number.

424321044400 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 424321044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561096609840).

424321044400 is an abundant number, since it is smaller than the sum of its proper divisors (697872175280).

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

424321044400 is a wasteful number, since it uses less digits than its factorization.

424321044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2024 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 424321044400 its reverse (4440123424), we get a palindrome (428761167824).

The spelling of 424321044400 in words is "four hundred twenty-four billion, three hundred twenty-one million, forty-four thousand, four hundred".