4434142200 has 192 divisors, whose sum is σ = 14005353600. Its totient is φ = 1160332800.

The previous prime is 4434142199. The next prime is 4434142211. The reversal of 4434142200 is 22414344.

It is a happy number.

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

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, 13396035 + ... + 13396365.

It is an arithmetic number, because the mean of its divisors is an integer number (72944550).

Almost surely, 2^4434142200 is an apocalyptic number.

4434142200 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 4434142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7002676800).

4434142200 is an abundant number, since it is smaller than the sum of its proper divisors (9571211400).

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

4434142200 is a wasteful number, since it uses less digits than its factorization.

4434142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 693 counting only the distinct ones).

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

The square root of 4434142200 is about 66589.3550051358. The cubic root of 4434142200 is about 1642.8700240596.

Adding to 4434142200 its reverse (22414344), we get a palindrome (4456556544).

The spelling of 4434142200 in words is "four billion, four hundred thirty-four million, one hundred forty-two thousand, two hundred".