4024282080 has 576 divisors, whose sum is σ = 16557488640. Its totient is φ = 802234368.

The previous prime is 4024282079. The next prime is 4024282123. The reversal of 4024282080 is 802824204.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10788774 + ... + 10789146.

It is an arithmetic number, because the mean of its divisors is an integer number (28745640).

Almost surely, 2^4024282080 is an apocalyptic number.

4024282080 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 4024282080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8278744320).

4024282080 is an abundant number, since it is smaller than the sum of its proper divisors (12533206560).

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

4024282080 is a wasteful number, since it uses less digits than its factorization.

4024282080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 4024282080 is about 63437.2294476989. The cubic root of 4024282080 is about 1590.6066906723.

The spelling of 4024282080 in words is "four billion, twenty-four million, two hundred eighty-two thousand, eighty".