1333441440 has 240 divisors, whose sum is σ = 4859205120. Its totient is φ = 344010240.

The previous prime is 1333441429. The next prime is 1333441457. The reversal of 1333441440 is 441443331.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 400101 + ... + 403419.

It is an arithmetic number, because the mean of its divisors is an integer number (20246688).

Almost surely, 2^1333441440 is an apocalyptic number.

1333441440 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 1333441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2429602560).

1333441440 is an abundant number, since it is smaller than the sum of its proper divisors (3525763680).

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

1333441440 is a wasteful number, since it uses less digits than its factorization.

1333441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3377 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 1333441440 is about 36516.3174485051. The cubic root of 1333441440 is about 1100.6721621900.

Adding to 1333441440 its reverse (441443331), we get a palindrome (1774884771).

The spelling of 1333441440 in words is "one billion, three hundred thirty-three million, four hundred forty-one thousand, four hundred forty".