4120058880 has 528 divisors, whose sum is σ = 16692122304. Its totient is φ = 920125440.

The previous prime is 4120058867. The next prime is 4120058893. The reversal of 4120058880 is 888500214.

It is an interprime number because it is at equal distance from previous prime (4120058867) and next prime (4120058893).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17095560 + ... + 17095800.

It is an arithmetic number, because the mean of its divisors is an integer number (31613868).

Almost surely, 2^4120058880 is an apocalyptic number.

4120058880 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 4120058880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8346061152).

4120058880 is an abundant number, since it is smaller than the sum of its proper divisors (12572063424).

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

4120058880 is a wasteful number, since it uses less digits than its factorization.

4120058880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 4120058880 is about 64187.6848001235. The cubic root of 4120058880 is about 1603.1265531032.

The spelling of 4120058880 in words is "four billion, one hundred twenty million, fifty-eight thousand, eight hundred eighty".