424120135221024 has 192 divisors, whose sum is σ = 1236134224346112. Its totient is φ = 126240448435200.

The previous prime is 424120135221011. The next prime is 424120135221061. The reversal of 424120135221024 is 420122531021424.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 42302179 + ... + 51358685.

It is an arithmetic number, because the mean of its divisors is an integer number (6438199085136).

Almost surely, 2^{424120135221024} is an apocalyptic number.

424120135221024 is a gapful number since it is divisible by the number (44) 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 424120135221024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618067112173056).

424120135221024 is an abundant number, since it is smaller than the sum of its proper divisors (812014089125088).

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

424120135221024 is a wasteful number, since it uses less digits than its factorization.

424120135221024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9057319 (or 9057311 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

Adding to 424120135221024 its reverse (420122531021424), we get a palindrome (844242666242448).

The spelling of 424120135221024 in words is "four hundred twenty-four trillion, one hundred twenty billion, one hundred thirty-five million, two hundred twenty-one thousand, twenty-four".