4079042240 has 168 divisors, whose sum is σ = 12168816912. Its totient is φ = 1290885120.

The previous prime is 4079042167. The next prime is 4079042263. The reversal of 4079042240 is 422409704.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4079042197 and 4079042206.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193835 + ... + 213845.

It is an arithmetic number, because the mean of its divisors is an integer number (72433434).

Almost surely, 2^4079042240 is an apocalyptic number.

4079042240 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 4079042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6084408456).

4079042240 is an abundant number, since it is smaller than the sum of its proper divisors (8089774672).

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

4079042240 is a wasteful number, since it uses less digits than its factorization.

4079042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20055 (or 20038 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 4079042240 is about 63867.3800934405. The cubic root of 4079042240 is about 1597.7889041503.

The spelling of 4079042240 in words is "four billion, seventy-nine million, forty-two thousand, two hundred forty".