414112344401 has 16 divisors (see below), whose sum is σ = 481669827840. Its totient is φ = 348690605760.

The previous prime is 414112344383. The next prime is 414112344427. The reversal of 414112344401 is 104443211414.

It is a happy number.

It is not a de Polignac number, because 414112344401 - 2¹⁸ = 414112082257 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (414112344461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1366346 + ... + 1641683.

It is an arithmetic number, because the mean of its divisors is an integer number (30104364240).

Almost surely, 2^414112344401 is an apocalyptic number.

It is an amenable number.

414112344401 is a deficient number, since it is larger than the sum of its proper divisors (67557483439).

414112344401 is a wasteful number, since it uses less digits than its factorization.

414112344401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3008384.

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 414112344401 its reverse (104443211414), we get a palindrome (518555555815).

The spelling of 414112344401 in words is "four hundred fourteen billion, one hundred twelve million, three hundred forty-four thousand, four hundred one".