4024984320 has 864 divisors, whose sum is σ = 17448238080. Its totient is φ = 836075520.

The previous prime is 4024984279. The next prime is 4024984333. The reversal of 4024984320 is 234894204.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 56689885 + ... + 56689955.

It is an arithmetic number, because the mean of its divisors is an integer number (20194720).

Almost surely, 2^4024984320 is an apocalyptic number.

4024984320 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 4024984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8724119040).

4024984320 is an abundant number, since it is smaller than the sum of its proper divisors (13423253760).

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

4024984320 is a wasteful number, since it uses less digits than its factorization.

4024984320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4024984320 is about 63442.7641264156. The cubic root of 4024984320 is about 1590.6992059462.

The spelling of 4024984320 in words is "four billion, twenty-four million, nine hundred eighty-four thousand, three hundred twenty".