1004132314000 has 40 divisors (see below), whose sum is σ = 2427991940088. Its totient is φ = 401652924800.

The previous prime is 1004132313991. The next prime is 1004132314033. The reversal of 1004132314000 is 4132314001.

It can be written as a sum of positive squares in 4 ways, for example, as 194823366544 + 809308947456 = 441388^2 + 899616^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251031079 + ... + 251035078.

Almost surely, 2^{1004132314000} is an apocalyptic number.

1004132314000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004132314000 is an abundant number, since it is smaller than the sum of its proper divisors (1423859626088).

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

1004132314000 is an equidigital number, since it uses as much as digits as its factorization.

1004132314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502066180 (or 502066164 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 1004132314000 its reverse (4132314001), we get a palindrome (1008264628001).

Subtracting from 1004132314000 its reverse (4132314001), we obtain a palindrome (999999999999).

The spelling of 1004132314000 in words is "one trillion, four billion, one hundred thirty-two million, three hundred fourteen thousand".