4633413120 has 240 divisors, whose sum is σ = 18339852960. Its totient is φ = 1059028992.

The previous prime is 4633413067. The next prime is 4633413139. The reversal of 4633413120 is 213143364.

4633413120 is a `hidden beast` number, since 4 + 6 + 3 + 341 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146916 + ... + 175644.

It is an arithmetic number, because the mean of its divisors is an integer number (76416054).

Almost surely, 2^4633413120 is an apocalyptic number.

4633413120 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 4633413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9169926480).

4633413120 is an abundant number, since it is smaller than the sum of its proper divisors (13706439840).

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

4633413120 is a wasteful number, since it uses less digits than its factorization.

4633413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28765 (or 28746 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 4633413120 is about 68069.1789284989. The cubic root of 4633413120 is about 1667.1205618874.

Adding to 4633413120 its reverse (213143364), we get a palindrome (4846556484).

The spelling of 4633413120 in words is "four billion, six hundred thirty-three million, four hundred thirteen thousand, one hundred twenty".