1441286496 has 144 divisors (see below), whose sum is σ = 4646481840. Its totient is φ = 420111360.

The previous prime is 1441286459. The next prime is 1441286521. The reversal of 1441286496 is 6946821441.

1441286496 is a `hidden beast` number, since 144 + 12 + 8 + 6 + 496 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61006 + ... + 81266.

It is an arithmetic number, because the mean of its divisors is an integer number (32267235).

Almost surely, 2^1441286496 is an apocalyptic number.

1441286496 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 1441286496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2323240920).

1441286496 is an abundant number, since it is smaller than the sum of its proper divisors (3205195344).

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

1441286496 is a wasteful number, since it uses less digits than its factorization.

1441286496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20309 (or 20298 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 1441286496 is about 37964.2792108582. The cubic root of 1441286496 is about 1129.5794231954.

The spelling of 1441286496 in words is "one billion, four hundred forty-one million, two hundred eighty-six thousand, four hundred ninety-six".