1424218320000 has 1920 divisors, whose sum is σ = 6130787520000. Its totient is φ = 317011968000.

The previous prime is 1424218319977. The next prime is 1424218320013. The reversal of 1424218320000 is 238124241.

1424218320000 is a `hidden beast` number, since 1 + 424 + 218 + 3 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 18028079961 + ... + 18028080039.

It is an arithmetic number, because the mean of its divisors is an integer number (3193118500).

Almost surely, 2^{1424218320000} is an apocalyptic number.

1424218320000 is a gapful number since it is divisible by the number (10) 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 1424218320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3065393760000).

1424218320000 is an abundant number, since it is smaller than the sum of its proper divisors (4706569200000).

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

1424218320000 is an frugal number, since it uses more digits than its factorization.

1424218320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 1424218320000 in words is "one trillion, four hundred twenty-four billion, two hundred eighteen million, three hundred twenty thousand".