4120582320 has 160 divisors (see below), whose sum is σ = 14225280000. Its totient is φ = 1096333056.

The previous prime is 4120582313. The next prime is 4120582331. The reversal of 4120582320 is 232850214.

4120582320 is a `hidden beast` number, since 41 + 20 + 582 + 3 + 20 = 666.

4120582320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1075929 + ... + 1079751.

It is an arithmetic number, because the mean of its divisors is an integer number (88908000).

Almost surely, 2^4120582320 is an apocalyptic number.

4120582320 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 4120582320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7112640000).

4120582320 is an abundant number, since it is smaller than the sum of its proper divisors (10104697680).

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

4120582320 is a wasteful number, since it uses less digits than its factorization.

4120582320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4344 (or 4332 counting only the distinct ones).

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

The square root of 4120582320 is about 64191.7620882929. The cubic root of 4120582320 is about 1603.1944408893.

The spelling of 4120582320 in words is "four billion, one hundred twenty million, five hundred eighty-two thousand, three hundred twenty".