30040022004003 has 24 divisors (see below), whose sum is σ = 47335965671280. Its totient is φ = 18206007240960.

The previous prime is 30040022003987. The next prime is 30040022004029.

30040022004003 is a `hidden beast` number, since 3 + 0 + 0 + 40 + 0 + 220 + 0 + 400 + 3 = 666.

30040022004003 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 30040022004003 - 2⁴ = 30040022003987 is a prime.

It is a super-2 number, since 2×30040022004003² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30040022004043) 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, 47354703 + ... + 47984871.

It is an arithmetic number, because the mean of its divisors is an integer number (1972331902970).

Almost surely, 2^{30040022004003} is an apocalyptic number.

30040022004003 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

30040022004003 is a deficient number, since it is larger than the sum of its proper divisors (17295943667277).

30040022004003 is a wasteful number, since it uses less digits than its factorization.

30040022004003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111699 (or 1111696 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, 3004002 and 2004003, that added together give a palindrome (5008005).

The spelling of 30040022004003 in words is "thirty trillion, forty billion, twenty-two million, four thousand, three".