4238821400 has 96 divisors (see below), whose sum is σ = 10768507200. Its totient is φ = 1538908800.

The previous prime is 4238821381. The next prime is 4238821403. The reversal of 4238821400 is 41288324.

It is a super-2 number, since 2×4238821400² = 35935213722195920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4238821403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1888679 + ... + 1890921.

It is an arithmetic number, because the mean of its divisors is an integer number (112171950).

Almost surely, 2^4238821400 is an apocalyptic number.

4238821400 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 4238821400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5384253600).

4238821400 is an abundant number, since it is smaller than the sum of its proper divisors (6529685800).

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

4238821400 is a wasteful number, since it uses less digits than its factorization.

4238821400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3129 (or 3120 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 4238821400 is about 65106.2316525845. The cubic root of 4238821400 is about 1618.3844840907.

The spelling of 4238821400 in words is "four billion, two hundred thirty-eight million, eight hundred twenty-one thousand, four hundred".