4120852320 has 576 divisors, whose sum is σ = 16273281024. Its totient is φ = 977909760.

The previous prime is 4120852303. The next prime is 4120852321. The reversal of 4120852320 is 232580214.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4120852321) 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 95 ways as a sum of consecutive naturals, for example, 15668509 + ... + 15668771.

It is an arithmetic number, because the mean of its divisors is an integer number (28252224).

Almost surely, 2^4120852320 is an apocalyptic number.

4120852320 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 4120852320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8136640512).

4120852320 is an abundant number, since it is smaller than the sum of its proper divisors (12152428704).

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

4120852320 is a wasteful number, since it uses less digits than its factorization.

4120852320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4120852320 is about 64193.8651274403. The cubic root of 4120852320 is about 1603.2294564131.

It can be divided in two parts, 41208 and 52320, that added together give a triangular number (93528 = T₄₃₂).

The spelling of 4120852320 in words is "four billion, one hundred twenty million, eight hundred fifty-two thousand, three hundred twenty".