1330042004032 has 84 divisors (see below), whose sum is σ = 3070583569260. Its totient is φ = 569948381184.

The previous prime is 1330042003987. The next prime is 1330042004119. The reversal of 1330042004032 is 2304002400331.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1147760824896 + 182281179136 = 1071336^2 + 426944^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1330042003994 and 1330042004012.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31944444 + ... + 31986052.

Almost surely, 2^{1330042004032} is an apocalyptic number.

It is an amenable number.

1330042004032 is an abundant number, since it is smaller than the sum of its proper divisors (1740541565228).

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

1330042004032 is a wasteful number, since it uses less digits than its factorization.

1330042004032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51828 (or 51811 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 1330042004032 its reverse (2304002400331), we get a palindrome (3634044404363).

The spelling of 1330042004032 in words is "one trillion, three hundred thirty billion, forty-two million, four thousand, thirty-two".