4801164655680 has 336 divisors, whose sum is σ = 17095505356800. Its totient is φ = 1235289968640.

The previous prime is 4801164655667. The next prime is 4801164655691. The reversal of 4801164655680 is 865564611084.

It is a happy number.

4801164655680 is a `hidden beast` number, since 4 + 8 + 0 + 1 + 1 + 6 + 4 + 6 + 556 + 80 = 666.

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 47 ways as a sum of consecutive naturals, for example, 122838381 + ... + 122877459.

Almost surely, 2^{4801164655680} is an apocalyptic number.

4801164655680 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 4801164655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8547752678400).

4801164655680 is an abundant number, since it is smaller than the sum of its proper divisors (12294340701120).

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

4801164655680 is a wasteful number, since it uses less digits than its factorization.

4801164655680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40602 (or 40589 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 4801164655680 in words is "four trillion, eight hundred one billion, one hundred sixty-four million, six hundred fifty-five thousand, six hundred eighty".