4838400000 has 672 divisors, whose sum is σ = 20477439360. Its totient is φ = 1105920000.

The previous prime is 4838399977. The next prime is 4838400023. The reversal of 4838400000 is 48384.

It is an interprime number because it is at equal distance from previous prime (4838399977) and next prime (4838400023).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×4838400000² = 46820229120000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 691199997 + ... + 691200003.

It is an arithmetic number, because the mean of its divisors is an integer number (30472380).

Almost surely, 2^4838400000 is an apocalyptic number.

4838400000 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 4838400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10238719680).

4838400000 is an abundant number, since it is smaller than the sum of its proper divisors (15639039360).

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

4838400000 is an frugal number, since it uses more digits than its factorization.

4838400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4838400000 is about 69558.6083817093. The cubic root of 4838400000 is about 1691.3516956956.

Adding to 4838400000 its reverse (48384), we get a palindrome (4838448384).

4838400000 divided by its reverse (48384) gives a 5-th power (100000 = 10⁵).

The spelling of 4838400000 in words is "four billion, eight hundred thirty-eight million, four hundred thousand".