1444022400 has 192 divisors, whose sum is σ = 4780944000. Its totient is φ = 383078400.

The previous prime is 1444022369. The next prime is 1444022429. The reversal of 1444022400 is 42204441.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3350185 + ... + 3350615.

It is an arithmetic number, because the mean of its divisors is an integer number (24900750).

Almost surely, 2^1444022400 is an apocalyptic number.

1444022400 is a gapful number since it is divisible by the number (10) 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 1444022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2390472000).

1444022400 is an abundant number, since it is smaller than the sum of its proper divisors (3336921600).

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

1444022400 is a wasteful number, since it uses less digits than its factorization.

1444022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 1444022400 is about 38000.2947356991. The cubic root of 1444022400 is about 1130.2937080790.

Adding to 1444022400 its reverse (42204441), we get a palindrome (1486226841).

The spelling of 1444022400 in words is "one billion, four hundred forty-four million, twenty-two thousand, four hundred".