424548971793408 has 2112 divisors, whose sum is σ = 1569702307765248. Its totient is φ = 98736537600000.

The previous prime is 424548971793343. The next prime is 424548971793431. The reversal of 424548971793408 is 804397179845424.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a self number, because there is not a number n which added to its sum of digits gives 424548971793408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 235729578108 + ... + 235729579908.

Almost surely, 2^{424548971793408} is an apocalyptic number.

424548971793408 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 424548971793408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784851153882624).

424548971793408 is an abundant number, since it is smaller than the sum of its proper divisors (1145153335971840).

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

424548971793408 is a wasteful number, since it uses less digits than its factorization.

424548971793408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 1950842880, while the sum is 75.

The spelling of 424548971793408 in words is "four hundred twenty-four trillion, five hundred forty-eight billion, nine hundred seventy-one million, seven hundred ninety-three thousand, four hundred eight".