4123578240 has 256 divisors, whose sum is σ = 14727168000. Its totient is φ = 1090381824.

The previous prime is 4123578233. The next prime is 4123578289. The reversal of 4123578240 is 428753214.

It is a happy number.

4123578240 is a `hidden beast` number, since 41 + 2 + 3 + 578 + 2 + 40 = 666.

4123578240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 4123578195 and 4123578204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2193621 + ... + 2195499.

It is an arithmetic number, because the mean of its divisors is an integer number (57528000).

Almost surely, 2^4123578240 is an apocalyptic number.

4123578240 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 4123578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7363584000).

4123578240 is an abundant number, since it is smaller than the sum of its proper divisors (10603589760).

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

4123578240 is a wasteful number, since it uses less digits than its factorization.

4123578240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4123578240 is about 64215.0935528401. The cubic root of 4123578240 is about 1603.5828875011.

The spelling of 4123578240 in words is "four billion, one hundred twenty-three million, five hundred seventy-eight thousand, two hundred forty".