424250616545280 has 768 divisors, whose sum is σ = 1684576755576000. Its totient is φ = 96754540216320.

The previous prime is 424250616545227. The next prime is 424250616545297. The reversal of 424250616545280 is 82545616052424.

424250616545280 is a `hidden beast` number, since 4 + 2 + 4 + 2 + 5 + 0 + 6 + 16 + 545 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-3 number, since 3×424250616545280³ (a number of 45 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 4634496310 + ... + 4634587850.

Almost surely, 2^{424250616545280} is an apocalyptic number.

424250616545280 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 424250616545280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842288377788000).

424250616545280 is an abundant number, since it is smaller than the sum of its proper divisors (1260326139030720).

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

424250616545280 is an equidigital number, since it uses as much as digits as its factorization.

424250616545280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92038 (or 92007 counting only the distinct ones).

The product of its (nonzero) digits is 18432000, while the sum is 54.

The spelling of 424250616545280 in words is "four hundred twenty-four trillion, two hundred fifty billion, six hundred sixteen million, five hundred forty-five thousand, two hundred eighty".