4854420449280 has 576 divisors, whose sum is σ = 17731343448000. Its totient is φ = 1224906375168.

The previous prime is 4854420449237. The next prime is 4854420449297. The reversal of 4854420449280 is 829440244584.

4854420449280 is a `hidden beast` number, since 4 + 8 + 54 + 4 + 20 + 4 + 492 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2817422499 + ... + 2817424221.

It is an arithmetic number, because the mean of its divisors is an integer number (30783582375).

Almost surely, 2^{4854420449280} is an apocalyptic number.

4854420449280 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 4854420449280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8865671724000).

4854420449280 is an abundant number, since it is smaller than the sum of its proper divisors (12876922998720).

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

4854420449280 is a wasteful number, since it uses less digits than its factorization.

4854420449280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3384 (or 3361 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 4854420449280 in words is "four trillion, eight hundred fifty-four billion, four hundred twenty million, four hundred forty-nine thousand, two hundred eighty".