1442448000 has 768 divisors, whose sum is σ = 6255325440. Its totient is φ = 323481600.

The previous prime is 1442447983. The next prime is 1442448017. The reversal of 1442448000 is 8442441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1442447983) and next prime (1442448017).

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

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27215974 + ... + 27216026.

It is an arithmetic number, because the mean of its divisors is an integer number (8144955).

Almost surely, 2^1442448000 is an apocalyptic number.

1442448000 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 1442448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3127662720).

1442448000 is an abundant number, since it is smaller than the sum of its proper divisors (4812877440).

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

1442448000 is an frugal number, since it uses more digits than its factorization.

1442448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 1442448000 is about 37979.5734573204. The cubic root of 1442448000 is about 1129.8827768864.

The spelling of 1442448000 in words is "one billion, four hundred forty-two million, four hundred forty-eight thousand".