1304400013000 has 128 divisors (see below), whose sum is σ = 3554157035520. Its totient is φ = 438784569600.

The previous prime is 1304400012919. The next prime is 1304400013001. The reversal of 1304400013000 is 3100044031.

It is not an unprimeable number, because it can be changed into a prime (1304400013001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1386952 + ... + 2128951.

It is an arithmetic number, because the mean of its divisors is an integer number (27766851840).

Almost surely, 2^{1304400013000} is an apocalyptic number.

1304400013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1304400013000 is an abundant number, since it is smaller than the sum of its proper divisors (2249757022520).

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

1304400013000 is a wasteful number, since it uses less digits than its factorization.

1304400013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3515984 (or 3515970 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1304400013000 its reverse (3100044031), we get a palindrome (1307500057031).

The spelling of 1304400013000 in words is "one trillion, three hundred four billion, four hundred million, thirteen thousand".