1304450151444 has 144 divisors (see below), whose sum is σ = 3718047856320. Its totient is φ = 395208792000.

The previous prime is 1304450151439. The next prime is 1304450151523. The reversal of 1304450151444 is 4441510544031.

1304450151444 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 4 + 501 + 5 + 144 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1304450151399 and 1304450151408.

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, 128727802 + ... + 128737934.

It is an arithmetic number, because the mean of its divisors is an integer number (25819776780).

Almost surely, 2^{1304450151444} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1304450151444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859023928160).

1304450151444 is an abundant number, since it is smaller than the sum of its proper divisors (2413597704876).

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

1304450151444 is a wasteful number, since it uses less digits than its factorization.

1304450151444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20019 (or 20000 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 1304450151444 its reverse (4441510544031), we get a palindrome (5745960695475).

The spelling of 1304450151444 in words is "one trillion, three hundred four billion, four hundred fifty million, one hundred fifty-one thousand, four hundred forty-four".