4120859520 has 192 divisors, whose sum is σ = 14263516800. Its totient is φ = 1096298496.

The previous prime is 4120859507. The next prime is 4120859539. The reversal of 4120859520 is 259580214.

4120859520 is a `hidden beast` number, since 4 + 120 + 8 + 5 + 9 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4774609 + ... + 4775471.

It is an arithmetic number, because the mean of its divisors is an integer number (74289150).

Almost surely, 2^4120859520 is an apocalyptic number.

4120859520 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 4120859520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7131758400).

4120859520 is an abundant number, since it is smaller than the sum of its proper divisors (10142657280).

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

4120859520 is a wasteful number, since it uses less digits than its factorization.

4120859520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 4120859520 is about 64193.9212075411. The cubic root of 4120859520 is about 1603.2303901395.

The spelling of 4120859520 in words is "four billion, one hundred twenty million, eight hundred fifty-nine thousand, five hundred twenty".