4163484948480 has 3072 divisors, whose sum is σ = 18598035456000. Its totient is φ = 869518540800.

The previous prime is 4163484948431. The next prime is 4163484948503. The reversal of 4163484948480 is 848494843614.

4163484948480 is a `hidden beast` number, since 4 + 1 + 6 + 34 + 8 + 49 + 484 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 52702341081 + ... + 52702341159.

It is an arithmetic number, because the mean of its divisors is an integer number (6054048000).

Almost surely, 2^{4163484948480} is an apocalyptic number.

4163484948480 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 4163484948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9299017728000).

4163484948480 is an abundant number, since it is smaller than the sum of its proper divisors (14434550507520).

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

4163484948480 is a wasteful number, since it uses less digits than its factorization.

4163484948480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 63.

The spelling of 4163484948480 in words is "four trillion, one hundred sixty-three billion, four hundred eighty-four million, nine hundred forty-eight thousand, four hundred eighty".