4641133068 has 144 divisors (see below), whose sum is σ = 13825427616. Its totient is φ = 1294202880.

The previous prime is 4641133043. The next prime is 4641133069. The reversal of 4641133068 is 8603311464.

It is a happy number.

4641133068 is a `hidden beast` number, since 4 + 641 + 1 + 3 + 3 + 0 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4641133069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1918996 + ... + 1921412.

It is an arithmetic number, because the mean of its divisors is an integer number (96009914).

Almost surely, 2^4641133068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4641133068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6912713808).

4641133068 is an abundant number, since it is smaller than the sum of its proper divisors (9184294548).

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

4641133068 is a wasteful number, since it uses less digits than its factorization.

4641133068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2824 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4641133068 is about 68125.8619615194. The cubic root of 4641133068 is about 1668.0459375234.

It can be divided in two parts, 46 and 41133068, that added together give a palindrome (41133114).

The spelling of 4641133068 in words is "four billion, six hundred forty-one million, one hundred thirty-three thousand, sixty-eight".