4120596480 has 832 divisors, whose sum is σ = 17966204928. Its totient is φ = 778567680.

The previous prime is 4120596451. The next prime is 4120596499. The reversal of 4120596480 is 846950214.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 61501407 + ... + 61501473.

Almost surely, 2^4120596480 is an apocalyptic number.

4120596480 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 4120596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8983102464).

4120596480 is an abundant number, since it is smaller than the sum of its proper divisors (13845608448).

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

4120596480 is a wasteful number, since it uses less digits than its factorization.

4120596480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 4120596480 is about 64191.8723827246. The cubic root of 4120596480 is about 1603.1962772970.

The spelling of 4120596480 in words is "four billion, one hundred twenty million, five hundred ninety-six thousand, four hundred eighty".