4442342400 has 264 divisors, whose sum is σ = 16316063840. Its totient is φ = 1184440320.

The previous prime is 4442342389. The next prime is 4442342407. The reversal of 4442342400 is 42432444.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (4442342407) 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, 687987 + ... + 694413.

Almost surely, 2^4442342400 is an apocalyptic number.

4442342400 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 4442342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8158031920).

4442342400 is an abundant number, since it is smaller than the sum of its proper divisors (11873721440).

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

4442342400 is a wasteful number, since it uses less digits than its factorization.

4442342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6466 (or 6437 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 4442342400 is about 66650.8994687994. The cubic root of 4442342400 is about 1643.8821376423.

Adding to 4442342400 its reverse (42432444), we get a palindrome (4484774844).

The spelling of 4442342400 in words is "four billion, four hundred forty-two million, three hundred forty-two thousand, four hundred".