4442534400 has 240 divisors, whose sum is σ = 15450573600. Its totient is φ = 1122140160.

The previous prime is 4442534353. The next prime is 4442534407. The reversal of 4442534400 is 44352444.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×4442534400² = 39472223790366720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4442534407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 726556 + ... + 732644.

It is an arithmetic number, because the mean of its divisors is an integer number (64377390).

Almost surely, 2^4442534400 is an apocalyptic number.

4442534400 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 4442534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7725286800).

4442534400 is an abundant number, since it is smaller than the sum of its proper divisors (11008039200).

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

4442534400 is a wasteful number, since it uses less digits than its factorization.

4442534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6139 (or 6118 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

The square root of 4442534400 is about 66652.3397938887. The cubic root of 4442534400 is about 1643.9058204051.

Adding to 4442534400 its reverse (44352444), we get a palindrome (4486886844).

The spelling of 4442534400 in words is "four billion, four hundred forty-two million, five hundred thirty-four thousand, four hundred".