4824181232640 has 2112 divisors, whose sum is σ = 21895650017280. Its totient is φ = 952860672000.

The previous prime is 4824181232621. The next prime is 4824181232641. The reversal of 4824181232640 is 462321814284.

4824181232640 is a `hidden beast` number, since 4 + 8 + 241 + 81 + 2 + 326 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4824181232641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6709570201 + ... + 6709570919.

Almost surely, 2^{4824181232640} is an apocalyptic number.

4824181232640 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 4824181232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10947825008640).

4824181232640 is an abundant number, since it is smaller than the sum of its proper divisors (17071468784640).

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

4824181232640 is a wasteful number, since it uses less digits than its factorization.

4824181232640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 4824181232640 in words is "four trillion, eight hundred twenty-four billion, one hundred eighty-one million, two hundred thirty-two thousand, six hundred forty".