1441161360 has 120 divisors (see below), whose sum is σ = 4849685880. Its totient is φ = 383533056.

The previous prime is 1441161353. The next prime is 1441161373. The reversal of 1441161360 is 631611441.

1441161360 = T₄₅₅₃ + T₄₅₅₄ + ... + T₄₆₈₇.

1441161360 is a `hidden beast` number, since 1 + 4 + 41 + 1 + 613 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 182898576 + 1258262784 = 13524^2 + 35472^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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, 413706 + ... + 417174.

It is an arithmetic number, because the mean of its divisors is an integer number (40414049).

Almost surely, 2^1441161360 is an apocalyptic number.

1441161360 is a gapful number since it is divisible by the number (10) 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 1441161360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424842940).

1441161360 is an abundant number, since it is smaller than the sum of its proper divisors (3408524520).

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

1441161360 is a wasteful number, since it uses less digits than its factorization.

1441161360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4065 (or 4056 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1441161360 is about 37962.6310995431. The cubic root of 1441161360 is about 1129.5467313048.

The spelling of 1441161360 in words is "one billion, four hundred forty-one million, one hundred sixty-one thousand, three hundred sixty".