1441481616 has 80 divisors (see below), whose sum is σ = 4142939200. Its totient is φ = 479872512.

The previous prime is 1441481609. The next prime is 1441481621. The reversal of 1441481616 is 6161841441.

It is a happy number.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 434235 + ... + 437541.

It is an arithmetic number, because the mean of its divisors is an integer number (51786740).

Almost surely, 2^1441481616 is an apocalyptic number.

1441481616 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 1441481616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2071469600).

1441481616 is an abundant number, since it is smaller than the sum of its proper divisors (2701457584).

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

1441481616 is a wasteful number, since it uses less digits than its factorization.

1441481616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4333 (or 4321 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 1441481616 is about 37966.8489079618. The cubic root of 1441481616 is about 1129.6303946926.

The spelling of 1441481616 in words is "one billion, four hundred forty-one million, four hundred eighty-one thousand, six hundred sixteen".