414012000441 has 32 divisors (see below), whose sum is σ = 600746422528. Its totient is φ = 252091699200.

The previous prime is 414012000421. The next prime is 414012000497. The reversal of 414012000441 is 144000210414.

It is not a de Polignac number, because 414012000441 - 2¹⁵ = 414011967673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414012000401) 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, 20898741 + ... + 20918541.

It is an arithmetic number, because the mean of its divisors is an integer number (18773325704).

Almost surely, 2^414012000441 is an apocalyptic number.

It is an amenable number.

414012000441 is a deficient number, since it is larger than the sum of its proper divisors (186734422087).

414012000441 is a wasteful number, since it uses less digits than its factorization.

414012000441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25441.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 414012000441 its reverse (144000210414), we get a palindrome (558012210855).

The spelling of 414012000441 in words is "four hundred fourteen billion, twelve million, four hundred forty-one", and thus it is an aban number.