414401414505 has 32 divisors (see below), whose sum is σ = 715608130944. Its totient is φ = 203566542336.

The previous prime is 414401414501. The next prime is 414401414509. The reversal of 414401414505 is 505414104414.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (414401414501) and next prime (414401414509).

It is not a de Polignac number, because 414401414505 - 2² = 414401414501 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414401414501) 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, 2235979 + ... + 2414208.

It is an arithmetic number, because the mean of its divisors is an integer number (22362754092).

Almost surely, 2^414401414505 is an apocalyptic number.

It is an amenable number.

414401414505 is a deficient number, since it is larger than the sum of its proper divisors (301206716439).

414401414505 is a wasteful number, since it uses less digits than its factorization.

414401414505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4650665.

The product of its (nonzero) digits is 25600, while the sum is 33.

Adding to 414401414505 its reverse (505414104414), we get a palindrome (919815518919).

The spelling of 414401414505 in words is "four hundred fourteen billion, four hundred one million, four hundred fourteen thousand, five hundred five".