1004140304032 has 24 divisors (see below), whose sum is σ = 2030330988756. Its totient is φ = 488500687872.

The previous prime is 1004140303987. The next prime is 1004140304059. The reversal of 1004140304032 is 2304030414001.

1004140304032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 924974603536 + 79165700496 = 961756^2 + 281364^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1004140303994 and 1004140304012.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 424044553 + ... + 424046920.

Almost surely, 2^{1004140304032} is an apocalyptic number.

It is an amenable number.

1004140304032 is an abundant number, since it is smaller than the sum of its proper divisors (1026190684724).

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

1004140304032 is an equidigital number, since it uses as much as digits as its factorization.

1004140304032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848091520 (or 848091512 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 1004140304032 its reverse (2304030414001), we get a palindrome (3308170718033).

The spelling of 1004140304032 in words is "one trillion, four billion, one hundred forty million, three hundred four thousand, thirty-two".