4881424504320 has 1280 divisors, whose sum is σ = 21543001159680. Its totient is φ = 1020160770048.

The previous prime is 4881424504279. The next prime is 4881424504337. The reversal of 4881424504320 is 234054241884.

4881424504320 is a `hidden beast` number, since 4 + 8 + 81 + 4 + 245 + 0 + 4 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 673017814 + ... + 673025066.

It is an arithmetic number, because the mean of its divisors is an integer number (16830469656).

Almost surely, 2^{4881424504320} is an apocalyptic number.

4881424504320 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 4881424504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10771500579840).

4881424504320 is an abundant number, since it is smaller than the sum of its proper divisors (16661576655360).

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

4881424504320 is a wasteful number, since it uses less digits than its factorization.

4881424504320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7412 (or 7390 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 4881424504320 in words is "four trillion, eight hundred eighty-one billion, four hundred twenty-four million, five hundred four thousand, three hundred twenty".