1441581120 has 336 divisors, whose sum is σ = 5915070720. Its totient is φ = 315076608.

The previous prime is 1441581083. The next prime is 1441581137. The reversal of 1441581120 is 211851441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×1441581120² = 4156312251080908800, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 462126 + ... + 465234.

Almost surely, 2^1441581120 is an apocalyptic number.

1441581120 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 1441581120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957535360).

1441581120 is an abundant number, since it is smaller than the sum of its proper divisors (4473489600).

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

1441581120 is a wasteful number, since it uses less digits than its factorization.

1441581120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3162 (or 3149 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 1441581120 is about 37968.1592917013. The cubic root of 1441581120 is about 1129.6563865044.

The spelling of 1441581120 in words is "one billion, four hundred forty-one million, five hundred eighty-one thousand, one hundred twenty".