424142100400000 has 384 divisors, whose sum is σ = 1073536879242240. Its totient is φ = 166874400000000.

The previous prime is 424142100399977. The next prime is 424142100400037. The reversal of 424142100400000 is 4001241424.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 12240382675 + ... + 12240417325.

It is an arithmetic number, because the mean of its divisors is an integer number (2795668956360).

Almost surely, 2^{424142100400000} is an apocalyptic number.

424142100400000 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 424142100400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536768439621120).

424142100400000 is an abundant number, since it is smaller than the sum of its proper divisors (649394778842240).

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

424142100400000 is an frugal number, since it uses more digits than its factorization.

424142100400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35192 (or 35160 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 424142100400000 its reverse (4001241424), we get a palindrome (424146101641424).

The spelling of 424142100400000 in words is "four hundred twenty-four trillion, one hundred forty-two billion, one hundred million, four hundred thousand".