2005010042432 has 28 divisors (see below), whose sum is σ = 3979391891340. Its totient is φ = 1002328621056.

The previous prime is 2005010042419. The next prime is 2005010042471. The reversal of 2005010042432 is 2342400105002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1181882076736 + 823127965696 = 1087144^2 + 907264^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2005010042398 and 2005010042407.

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, 2389313 + ... + 3117504.

Almost surely, 2^{2005010042432} is an apocalyptic number.

It is an amenable number.

2005010042432 is a deficient number, since it is larger than the sum of its proper divisors (1974381848908).

2005010042432 is an equidigital number, since it uses as much as digits as its factorization.

2005010042432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5512518 (or 5512508 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 2005010042432 its reverse (2342400105002), we get a palindrome (4347410147434).

The spelling of 2005010042432 in words is "two trillion, five billion, ten million, forty-two thousand, four hundred thirty-two".