1442441616 has 240 divisors, whose sum is σ = 4776837120. Its totient is φ = 370863360.

The previous prime is 1442441597. The next prime is 1442441629. The reversal of 1442441616 is 6161442441.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3285525 + ... + 3285963.

It is an arithmetic number, because the mean of its divisors is an integer number (19903488).

Almost surely, 2^1442441616 is an apocalyptic number.

1442441616 is a gapful number since it is divisible by the number (16) 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 1442441616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388418560).

1442441616 is an abundant number, since it is smaller than the sum of its proper divisors (3334395504).

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

1442441616 is a wasteful number, since it uses less digits than its factorization.

1442441616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 589 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 1442441616 is about 37979.4894120498. The cubic root of 1442441616 is about 1129.8811100020.

The spelling of 1442441616 in words is "one billion, four hundred forty-two million, four hundred forty-one thousand, six hundred sixteen".