424322320000 has 160 divisors (see below), whose sum is σ = 1057955174100. Its totient is φ = 169466880000.

The previous prime is 424322319959. The next prime is 424322320001. The reversal of 424322320000 is 23223424.

It can be written as a sum of positive squares in 10 ways, for example, as 33057057856 + 391265262144 = 181816^2 + 625512^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (424322320001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56716260 + ... + 56723740.

Almost surely, 2^424322320000 is an apocalyptic number.

424322320000 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 424322320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528977587050).

424322320000 is an abundant number, since it is smaller than the sum of its proper divisors (633632854100).

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

424322320000 is an frugal number, since it uses more digits than its factorization.

424322320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8224 (or 8197 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 424322320000 its reverse (23223424), we get a palindrome (424345543424).

The spelling of 424322320000 in words is "four hundred twenty-four billion, three hundred twenty-two million, three hundred twenty thousand".