4075220240 has 240 divisors, whose sum is σ = 11957359680. Its totient is φ = 1280240640.

The previous prime is 4075220239. The next prime is 4075220251. The reversal of 4075220240 is 420225704.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10752371 + ... + 10752749.

It is an arithmetic number, because the mean of its divisors is an integer number (49822332).

Almost surely, 2^4075220240 is an apocalyptic number.

4075220240 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 4075220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5978679840).

4075220240 is an abundant number, since it is smaller than the sum of its proper divisors (7882139440).

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

4075220240 is a wasteful number, since it uses less digits than its factorization.

4075220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 26.

The square root of 4075220240 is about 63837.4517035259. The cubic root of 4075220240 is about 1597.2897136430.

Adding to 4075220240 its reverse (420225704), we get a palindrome (4495445944).

The spelling of 4075220240 in words is "four billion, seventy-five million, two hundred twenty thousand, two hundred forty".