424120982208 has 448 divisors, whose sum is σ = 1440719081472. Its totient is φ = 106913157120.

The previous prime is 424120982189. The next prime is 424120982209. The reversal of 424120982208 is 802289021424.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 424120982208.

It is not an unprimeable number, because it can be changed into a prime (424120982209) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 103619010 + ... + 103623102.

Almost surely, 2^424120982208 is an apocalyptic number.

424120982208 is a gapful number since it is divisible by the number (48) 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 424120982208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720359540736).

424120982208 is an abundant number, since it is smaller than the sum of its proper divisors (1016598099264).

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

424120982208 is a wasteful number, since it uses less digits than its factorization.

424120982208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4332 (or 4322 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 424120982208 in words is "four hundred twenty-four billion, one hundred twenty million, nine hundred eighty-two thousand, two hundred eight".