4120578280 has 288 divisors, whose sum is σ = 12071324160. Its totient is φ = 1238215680.

The previous prime is 4120578247. The next prime is 4120578281. The reversal of 4120578280 is 828750214.

4120578280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4120578281) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 77746734 + ... + 77746786.

It is an arithmetic number, because the mean of its divisors is an integer number (41914320).

Almost surely, 2^4120578280 is an apocalyptic number.

4120578280 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 4120578280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6035662080).

4120578280 is an abundant number, since it is smaller than the sum of its proper divisors (7950745880).

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

4120578280 is a wasteful number, since it uses less digits than its factorization.

4120578280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 37.

The square root of 4120578280 is about 64191.7306200729. The cubic root of 4120578280 is about 1603.1939169417.

The spelling of 4120578280 in words is "four billion, one hundred twenty million, five hundred seventy-eight thousand, two hundred eighty".