4841331936480 has 480 divisors, whose sum is σ = 18415328478624. Its totient is φ = 1190730461184.

The previous prime is 4841331936461. The next prime is 4841331936533. The reversal of 4841331936480 is 846391331484.

4841331936480 is a `hidden beast` number, since 4 + 8 + 41 + 3 + 31 + 93 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 216148642 + ... + 216171038.

Almost surely, 2^{4841331936480} is an apocalyptic number.

4841331936480 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 4841331936480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9207664239312).

4841331936480 is an abundant number, since it is smaller than the sum of its proper divisors (13573996542144).

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

4841331936480 is a wasteful number, since it uses less digits than its factorization.

4841331936480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23720 (or 23703 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 4841331936480 in words is "four trillion, eight hundred forty-one billion, three hundred thirty-one million, nine hundred thirty-six thousand, four hundred eighty".