1304431000000 has 196 divisors, whose sum is σ = 3290547724200. Its totient is φ = 512905600000.

The previous prime is 1304430999979. The next prime is 1304431000007. The reversal of 1304431000000 is 1344031.

It is a super-2 number, since 2×1304431000000² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304431000007) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 58988946 + ... + 59011054.

Almost surely, 2^{1304431000000} is an apocalyptic number.

1304431000000 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 1304431000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645273862100).

1304431000000 is an abundant number, since it is smaller than the sum of its proper divisors (1986116724200).

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

1304431000000 is an frugal number, since it uses more digits than its factorization.

1304431000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22210 (or 22175 counting only the distinct ones).

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

Adding to 1304431000000 its reverse (1344031), we get a palindrome (1304432344031).

The spelling of 1304431000000 in words is "one trillion, three hundred four billion, four hundred thirty-one million", and thus it is an aban number.