424320022400 has 96 divisors (see below), whose sum is σ = 1052822492280. Its totient is φ = 168980019200.

The previous prime is 424320022393. The next prime is 424320022403. The reversal of 424320022400 is 4220023424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424320022403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 434330 + ... + 1018470.

Almost surely, 2^424320022400 is an apocalyptic number.

424320022400 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 424320022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526411246140).

424320022400 is an abundant number, since it is smaller than the sum of its proper divisors (628502469880).

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

424320022400 is a wasteful number, since it uses less digits than its factorization.

424320022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584392 (or 584375 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

Adding to 424320022400 its reverse (4220023424), we get a palindrome (428540045824).

The spelling of 424320022400 in words is "four hundred twenty-four billion, three hundred twenty million, twenty-two thousand, four hundred".