1304398888128 has 1008 divisors, whose sum is σ = 4777033936896. Its totient is φ = 338196418560.

The previous prime is 1304398888123. The next prime is 1304398888139. The reversal of 1304398888128 is 8218888934031.

1304398888128 is a `hidden beast` number, since 1 + 30 + 439 + 88 + 88 + 12 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1304398888123) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1066556125 + ... + 1066557347.

Almost surely, 2^{1304398888128} is an apocalyptic number.

1304398888128 is a gapful number since it is divisible by the number (18) 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 1304398888128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388516968448).

1304398888128 is an abundant number, since it is smaller than the sum of its proper divisors (3472635048768).

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

1304398888128 is a wasteful number, since it uses less digits than its factorization.

1304398888128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 63.

The spelling of 1304398888128 in words is "one trillion, three hundred four billion, three hundred ninety-eight million, eight hundred eighty-eight thousand, one hundred twenty-eight".