4442231400 has 192 divisors, whose sum is σ = 14045767680. Its totient is φ = 1161216000.

The previous prime is 4442231377. The next prime is 4442231413. The reversal of 4442231400 is 41322444.

It is a happy number.

It is a super-2 number, since 2×4442231400² = 39466839622291920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 7391100 + ... + 7391700.

It is an arithmetic number, because the mean of its divisors is an integer number (73155040).

Almost surely, 2^4442231400 is an apocalyptic number.

4442231400 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 4442231400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7022883840).

4442231400 is an abundant number, since it is smaller than the sum of its proper divisors (9603536280).

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

4442231400 is a wasteful number, since it uses less digits than its factorization.

4442231400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4442231400 is about 66650.0667666582. The cubic root of 4442231400 is about 1643.8684457338.

Adding to 4442231400 its reverse (41322444), we get a palindrome (4483553844).

The spelling of 4442231400 in words is "four billion, four hundred forty-two million, two hundred thirty-one thousand, four hundred".