4024084480 has 384 divisors, whose sum is σ = 11502691200. Its totient is φ = 1337720832.

The previous prime is 4024084453. The next prime is 4024084481. The reversal of 4024084480 is 844804204.

It is not an unprimeable number, because it can be changed into a prime (4024084481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93583339 + ... + 93583381.

It is an arithmetic number, because the mean of its divisors is an integer number (29954925).

Almost surely, 2^4024084480 is an apocalyptic number.

4024084480 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 4024084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5751345600).

4024084480 is an abundant number, since it is smaller than the sum of its proper divisors (7478606720).

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

4024084480 is a wasteful number, since it uses less digits than its factorization.

4024084480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 34.

The square root of 4024084480 is about 63435.6719835141. The cubic root of 4024084480 is about 1590.5806562956.

Adding to 4024084480 its reverse (844804204), we get a palindrome (4868888684).

The spelling of 4024084480 in words is "four billion, twenty-four million, eighty-four thousand, four hundred eighty".