1442237472 has 144 divisors (see below), whose sum is σ = 4431150360. Its totient is φ = 442331136.

The previous prime is 1442237453. The next prime is 1442237473. The reversal of 1442237472 is 2747322441.

It can be written as a sum of positive squares in 4 ways, for example, as 1205200656 + 237036816 = 34716^2 + 15396^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1442237473) 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, 2129998 + ... + 2130674.

Almost surely, 2^1442237472 is an apocalyptic number.

1442237472 is a gapful number since it is divisible by the number (12) 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 1442237472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2215575180).

1442237472 is an abundant number, since it is smaller than the sum of its proper divisors (2988912888).

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

1442237472 is a wasteful number, since it uses less digits than its factorization.

1442237472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1264 counting only the distinct ones).

The product of its digits is 75264, while the sum is 36.

The square root of 1442237472 is about 37976.8017610751. The cubic root of 1442237472 is about 1129.8278047061.

The spelling of 1442237472 in words is "one billion, four hundred forty-two million, two hundred thirty-seven thousand, four hundred seventy-two".