4829440000 has 480 divisors, whose sum is σ = 15351336000. Its totient is φ = 1505280000.

The previous prime is 4829439947. The next prime is 4829440043. The reversal of 4829440000 is 449284.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 439039995 + ... + 439040005.

It is an arithmetic number, because the mean of its divisors is an integer number (31981950).

Almost surely, 2^4829440000 is an apocalyptic number.

4829440000 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 4829440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7675668000).

4829440000 is an abundant number, since it is smaller than the sum of its proper divisors (10521896000).

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

4829440000 is an frugal number, since it uses more digits than its factorization.

4829440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 4829440000 is about 69494.1724175488. The cubic root of 4829440000 is about 1690.3070063034.

Adding to 4829440000 its reverse (449284), we get a palindrome (4829889284).

It can be divided in two parts, 4 and 829440000, that multiplied together give a 4-th power (3317760000 = 240⁴).

The spelling of 4829440000 in words is "four billion, eight hundred twenty-nine million, four hundred forty thousand".