4075882720 has 384 divisors, whose sum is σ = 12573792000. Its totient is φ = 1239146496.

The previous prime is 4075882711. The next prime is 4075882721. The reversal of 4075882720 is 272885704.

It is a super-2 number, since 2×4075882720² = 33225639894389196800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4075882721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20689662 + ... + 20689858.

It is an arithmetic number, because the mean of its divisors is an integer number (32744250).

Almost surely, 2^4075882720 is an apocalyptic number.

4075882720 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 4075882720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6286896000).

4075882720 is an abundant number, since it is smaller than the sum of its proper divisors (8497909280).

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

4075882720 is a wasteful number, since it uses less digits than its factorization.

4075882720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 43.

The square root of 4075882720 is about 63842.6402962785. The cubic root of 4075882720 is about 1597.3762623523.

The spelling of 4075882720 in words is "four billion, seventy-five million, eight hundred eighty-two thousand, seven hundred twenty".