424401340000000 has 576 divisors, whose sum is σ = 1163709297459072. Its totient is φ = 153190400000000.

The previous prime is 424401339999997. The next prime is 424401340000013. The reversal of 424401340000000 is 43104424.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30139992960 + ... + 30140007040.

It is an arithmetic number, because the mean of its divisors is an integer number (2020328641422).

Almost surely, 2^{424401340000000} is an apocalyptic number.

424401340000000 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 424401340000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581854648729536).

424401340000000 is an abundant number, since it is smaller than the sum of its proper divisors (739307957459072).

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

424401340000000 is an frugal number, since it uses more digits than its factorization.

424401340000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14280 (or 14236 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 424401340000000 its reverse (43104424), we get a palindrome (424401383104424).

The spelling of 424401340000000 in words is "four hundred twenty-four trillion, four hundred one billion, three hundred forty million", and thus it is an aban number.