4533957120 has 960 divisors, whose sum is σ = 19749235968. Its totient is φ = 865075200.

The previous prime is 4533957119. The next prime is 4533957139. The reversal of 4533957120 is 217593354.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110584300 + ... + 110584340.

Almost surely, 2^4533957120 is an apocalyptic number.

4533957120 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 4533957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9874617984).

4533957120 is an abundant number, since it is smaller than the sum of its proper divisors (15215278848).

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

4533957120 is a wasteful number, since it uses less digits than its factorization.

4533957120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 4533957120 is about 67334.6650693385. The cubic root of 4533957120 is about 1655.1059609719.

The spelling of 4533957120 in words is "four billion, five hundred thirty-three million, nine hundred fifty-seven thousand, one hundred twenty".