4233116160 has 640 divisors, whose sum is σ = 18533813760. Its totient is φ = 891813888.

The previous prime is 4233116149. The next prime is 4233116179. The reversal of 4233116160 is 616113324.

4233116160 is a `hidden beast` number, since 4 + 2 + 33 + 11 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6289584 + ... + 6290256.

It is an arithmetic number, because the mean of its divisors is an integer number (28959084).

Almost surely, 2^4233116160 is an apocalyptic number.

4233116160 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 4233116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9266906880).

4233116160 is an abundant number, since it is smaller than the sum of its proper divisors (14300697600).

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

4233116160 is a wasteful number, since it uses less digits than its factorization.

4233116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 4233116160 is about 65062.4020460358. The cubic root of 4233116160 is about 1617.6580701005.

Adding to 4233116160 its reverse (616113324), we get a palindrome (4849229484).

The spelling of 4233116160 in words is "four billion, two hundred thirty-three million, one hundred sixteen thousand, one hundred sixty".