1304044116480 has 1600 divisors, whose sum is σ = 5788053469440. Its totient is φ = 273786863616.

The previous prime is 1304044116469. The next prime is 1304044116503. The reversal of 1304044116480 is 846114404031.

It is a happy number.

1304044116480 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 0 + 4 + 4 + 1 + 1 + 648 + 0 = 666.

It is a super-2 number, since 2×1304044116480² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1061060506 + ... + 1061061734.

Almost surely, 2^{1304044116480} is an apocalyptic number.

1304044116480 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 1304044116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2894026734720).

1304044116480 is an abundant number, since it is smaller than the sum of its proper divisors (4484009352960).

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

1304044116480 is a wasteful number, since it uses less digits than its factorization.

1304044116480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 1304044116480 in words is "one trillion, three hundred four billion, forty-four million, one hundred sixteen thousand, four hundred eighty".