414024010401 has 16 divisors (see below), whose sum is σ = 584525899584. Its totient is φ = 259770253824.

The previous prime is 414024010381. The next prime is 414024010441. The reversal of 414024010401 is 104010420414.

It is not a de Polignac number, because 414024010401 - 2⁷ = 414024010273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414024010441) 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, 1417045 + ... + 1684061.

It is an arithmetic number, because the mean of its divisors is an integer number (36532868724).

Almost surely, 2^414024010401 is an apocalyptic number.

It is an amenable number.

414024010401 is a deficient number, since it is larger than the sum of its proper divisors (170501889183).

414024010401 is a wasteful number, since it uses less digits than its factorization.

414024010401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297440.

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

Adding to 414024010401 its reverse (104010420414), we get a palindrome (518034430815).

The spelling of 414024010401 in words is "four hundred fourteen billion, twenty-four million, ten thousand, four hundred one".