30414000441 has 32 divisors (see below), whose sum is σ = 44476185600. Its totient is φ = 18333881280.

The previous prime is 30414000401. The next prime is 30414000457. The reversal of 30414000441 is 14400041403.

It is not a de Polignac number, because 30414000441 - 2¹⁸ = 30413738297 is a prime.

It is a super-2 number, since 2×30414000441² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30414000401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13956690 + ... + 13958868.

It is an arithmetic number, because the mean of its divisors is an integer number (1389880800).

Almost surely, 2^30414000441 is an apocalyptic number.

It is an amenable number.

30414000441 is a deficient number, since it is larger than the sum of its proper divisors (14062185159).

30414000441 is a wasteful number, since it uses less digits than its factorization.

30414000441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4269.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 30414000441 its reverse (14400041403), we get a palindrome (44814041844).

The spelling of 30414000441 in words is "thirty billion, four hundred fourteen million, four hundred forty-one", and thus it is an aban number.