1304410114404 has 144 divisors (see below), whose sum is σ = 3506464241280. Its totient is φ = 407690703360.

The previous prime is 1304410114391. The next prime is 1304410114417. The reversal of 1304410114404 is 4044110144031.

1304410114404 is a `hidden beast` number, since 130 + 4 + 4 + 10 + 114 + 404 = 666.

It is an interprime number because it is at equal distance from previous prime (1304410114391) and next prime (1304410114417).

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, 160696954 + ... + 160705070.

It is an arithmetic number, because the mean of its divisors is an integer number (24350446120).

Almost surely, 2^{1304410114404} 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 1304410114404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753232120640).

1304410114404 is an abundant number, since it is smaller than the sum of its proper divisors (2202054126876).

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

1304410114404 is a wasteful number, since it uses less digits than its factorization.

1304410114404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10530 (or 10525 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1304410114404 its reverse (4044110144031), we get a palindrome (5348520258435).

The spelling of 1304410114404 in words is "one trillion, three hundred four billion, four hundred ten million, one hundred fourteen thousand, four hundred four".