3002400042003 has 24 divisors (see below), whose sum is σ = 4548097132800. Its totient is φ = 1904952939120.

The previous prime is 3002400041983. The next prime is 3002400042007.

3002400042003 is a `hidden beast` number, since 3 + 0 + 0 + 240 + 0 + 0 + 420 + 0 + 3 = 666.

3002400042003 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3002400042003 - 2⁶ = 3002400041939 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3002400042007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36401893 + ... + 36484278.

It is an arithmetic number, because the mean of its divisors is an integer number (189504047200).

Almost surely, 2^{3002400042003} is an apocalyptic number.

3002400042003 is a deficient number, since it is larger than the sum of its proper divisors (1545697090797).

3002400042003 is a wasteful number, since it uses less digits than its factorization.

3002400042003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72886399 (or 72886396 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

It can be divided in two parts, 30024000 and 42003, that added together give a palindrome (30066003).

The spelling of 3002400042003 in words is "three trillion, two billion, four hundred million, forty-two thousand, three".