1304400040000 has 140 divisors (see below), whose sum is σ = 3250926529884. Its totient is φ = 519108352000.

The previous prime is 1304400039997. The next prime is 1304400040003. The reversal of 1304400040000 is 400044031.

It is an interprime number because it is at equal distance from previous prime (1304400039997) and next prime (1304400040003).

It can be written as a sum of positive squares in 10 ways, for example, as 1040220487744 + 264179552256 = 1019912^2 + 513984^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1304400040003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7797234 + ... + 7962766.

Almost surely, 2^{1304400040000} is an apocalyptic number.

1304400040000 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 1304400040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625463264942).

1304400040000 is an abundant number, since it is smaller than the sum of its proper divisors (1946526489884).

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

1304400040000 is an equidigital number, since it uses as much as digits as its factorization.

1304400040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165762 (or 165737 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 1304400040000 its reverse (400044031), we get a palindrome (1304800084031).

The spelling of 1304400040000 in words is "one trillion, three hundred four billion, four hundred million, forty thousand".