1441211616 has 288 divisors, whose sum is σ = 4680879840. Its totient is φ = 433465344.

The previous prime is 1441211609. The next prime is 1441211677. The reversal of 1441211616 is 6161121441.

1441211616 is a `hidden beast` number, since 1 + 4 + 41 + 2 + 1 + 1 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 1441211616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5357530 + ... + 5357798.

It is an arithmetic number, because the mean of its divisors is an integer number (16253055).

Almost surely, 2^1441211616 is an apocalyptic number.

1441211616 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 1441211616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340439920).

1441211616 is an abundant number, since it is smaller than the sum of its proper divisors (3239668224).

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

1441211616 is a wasteful number, since it uses less digits than its factorization.

1441211616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 340 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 1441211616 is about 37963.2930078517. The cubic root of 1441211616 is about 1129.5598609566.

The spelling of 1441211616 in words is "one billion, four hundred forty-one million, two hundred eleven thousand, six hundred sixteen".