1442144422400 has 240 divisors, whose sum is σ = 3901828490208. Its totient is φ = 523880448000.

The previous prime is 1442144422393. The next prime is 1442144422403. The reversal of 1442144422400 is 42244412441.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (1442144422403) 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, 153889715 + ... + 153899085.

Almost surely, 2^{1442144422400} is an apocalyptic number.

1442144422400 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 1442144422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950914245104).

1442144422400 is an abundant number, since it is smaller than the sum of its proper divisors (2459684067808).

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

1442144422400 is a wasteful number, since it uses less digits than its factorization.

1442144422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10503 (or 10482 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 1442144422400 its reverse (42244412441), we get a palindrome (1484388834841).

The spelling of 1442144422400 in words is "one trillion, four hundred forty-two billion, one hundred forty-four million, four hundred twenty-two thousand, four hundred".