424430120000000 has 320 divisors, whose sum is σ = 1062800371020960. Its totient is φ = 169329408000000.

The previous prime is 424430119999939. The next prime is 424430120000027. The reversal of 424430120000000 is 21034424.

It can be written as a sum of positive squares in 16 ways, for example, as 360688163371264 + 63741956628736 = 18991792^2 + 7983856^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15559986362 + ... + 15560013638.

Almost surely, 2^{424430120000000} is an apocalyptic number.

424430120000000 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 424430120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531400185510480).

424430120000000 is an abundant number, since it is smaller than the sum of its proper divisors (638370251020960).

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

424430120000000 is an frugal number, since it uses more digits than its factorization.

424430120000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27719 (or 27673 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 424430120000000 its reverse (21034424), we get a palindrome (424430141034424).

The spelling of 424430120000000 in words is "four hundred twenty-four trillion, four hundred thirty billion, one hundred twenty million", and thus it is an aban number.