1304441440120 has 192 divisors, whose sum is σ = 3694245559200. Its totient is φ = 410875960320.

The previous prime is 1304441440117. The next prime is 1304441440147. The reversal of 1304441440120 is 210441444031.

It is a super-2 number, since 2×1304441440120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5254966 + ... + 5497594.

Almost surely, 2^{1304441440120} is an apocalyptic number.

1304441440120 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 1304441440120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847122779600).

1304441440120 is an abundant number, since it is smaller than the sum of its proper divisors (2389804119080).

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

1304441440120 is a wasteful number, since it uses less digits than its factorization.

1304441440120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242878 (or 242867 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 1304441440120 its reverse (210441444031), we get a palindrome (1514882884151).

The spelling of 1304441440120 in words is "one trillion, three hundred four billion, four hundred forty-one million, four hundred forty thousand, one hundred twenty".