4119875760 has 480 divisors, whose sum is σ = 17288893440. Its totient is φ = 789719040.

The previous prime is 4119875689. The next prime is 4119875783. The reversal of 4119875760 is 675789114.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 95 ways as a sum of consecutive naturals, for example, 2641861 + ... + 2643419.

It is an arithmetic number, because the mean of its divisors is an integer number (36018528).

Almost surely, 2^4119875760 is an apocalyptic number.

4119875760 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 4119875760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8644446720).

4119875760 is an abundant number, since it is smaller than the sum of its proper divisors (13169017680).

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

4119875760 is a wasteful number, since it uses less digits than its factorization.

4119875760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 48.

The square root of 4119875760 is about 64186.2583424209. The cubic root of 4119875760 is about 1603.1028019148.

The spelling of 4119875760 in words is "four billion, one hundred nineteen million, eight hundred seventy-five thousand, seven hundred sixty".