4841636436 has 192 divisors, whose sum is σ = 16121548800. Its totient is φ = 1221340032.

The previous prime is 4841636399. The next prime is 4841636453. The reversal of 4841636436 is 6346361484.

It is a happy number.

4841636436 is a `hidden beast` number, since 4 + 8 + 4 + 1 + 636 + 4 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4841636391 and 4841636400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 215335 + ... + 236753.

It is an arithmetic number, because the mean of its divisors is an integer number (83966400).

Almost surely, 2^4841636436 is an apocalyptic number.

4841636436 is a gapful number since it is divisible by the number (46) 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 4841636436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8060774400).

4841636436 is an abundant number, since it is smaller than the sum of its proper divisors (11279912364).

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

4841636436 is a wasteful number, since it uses less digits than its factorization.

4841636436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21475 (or 21467 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 4841636436 is about 69581.8685865794. The cubic root of 4841636436 is about 1691.7287302146.

The spelling of 4841636436 in words is "four billion, eight hundred forty-one million, six hundred thirty-six thousand, four hundred thirty-six".