4953309120 has 336 divisors, whose sum is σ = 18097073280. Its totient is φ = 1240012800.

The previous prime is 4953309113. The next prime is 4953309121. The reversal of 4953309120 is 219033594.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4953309121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7167975 + ... + 7168665.

Almost surely, 2^4953309120 is an apocalyptic number.

4953309120 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 4953309120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9048536640).

4953309120 is an abundant number, since it is smaller than the sum of its proper divisors (13143764160).

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

4953309120 is a wasteful number, since it uses less digits than its factorization.

4953309120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 4953309120 is about 70379.7493601675. The cubic root of 4953309120 is about 1704.6366066784.

The spelling of 4953309120 in words is "four billion, nine hundred fifty-three million, three hundred nine thousand, one hundred twenty".