4878105180480 has 448 divisors, whose sum is σ = 20702406144000. Its totient is φ = 1056311248896.

The previous prime is 4878105180467. The next prime is 4878105180493. The reversal of 4878105180480 is 840815018784.

4878105180480 is a `hidden beast` number, since 4 + 8 + 7 + 81 + 0 + 5 + 1 + 80 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (4878105180467) and next prime (4878105180493).

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 (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 973420 + ... + 3271659.

It is an arithmetic number, because the mean of its divisors is an integer number (46210728000).

Almost surely, 2^{4878105180480} is an apocalyptic number.

4878105180480 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 4878105180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10351203072000).

4878105180480 is an abundant number, since it is smaller than the sum of its proper divisors (15824300963520).

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

4878105180480 is a wasteful number, since it uses less digits than its factorization.

4878105180480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4245131 (or 4245115 counting only the distinct ones).

The product of its (nonzero) digits is 2293760, while the sum is 54.

The spelling of 4878105180480 in words is "four trillion, eight hundred seventy-eight billion, one hundred five million, one hundred eighty thousand, four hundred eighty".