414013220301 has 16 divisors (see below), whose sum is σ = 570119682560. Its totient is φ = 266967005760.

The previous prime is 414013220251. The next prime is 414013220339. The reversal of 414013220301 is 103022310414.

It is not a de Polignac number, because 414013220301 - 2²⁹ = 413476349389 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414013260301) 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, 971746 + ... + 1331283.

It is an arithmetic number, because the mean of its divisors is an integer number (35632480160).

Almost surely, 2^414013220301 is an apocalyptic number.

It is an amenable number.

414013220301 is a deficient number, since it is larger than the sum of its proper divisors (156106462259).

414013220301 is a wasteful number, since it uses less digits than its factorization.

414013220301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304996.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 414013220301 its reverse (103022310414), we get a palindrome (517035530715).

The spelling of 414013220301 in words is "four hundred fourteen billion, thirteen million, two hundred twenty thousand, three hundred one".