414404414193 has 64 divisors (see below), whose sum is σ = 694226257920. Its totient is φ = 213610521600.

The previous prime is 414404414159. The next prime is 414404414201. The reversal of 414404414193 is 391414404414.

414404414193 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 414404414193 - 2¹³ = 414404406001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414404414143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16413103 + ... + 16438331.

It is an arithmetic number, because the mean of its divisors is an integer number (10847285280).

Almost surely, 2^414404414193 is an apocalyptic number.

It is an amenable number.

414404414193 is a deficient number, since it is larger than the sum of its proper divisors (279821843727).

414404414193 is a wasteful number, since it uses less digits than its factorization.

414404414193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25798.

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 414404414193 in words is "four hundred fourteen billion, four hundred four million, four hundred fourteen thousand, one hundred ninety-three".