414404313113 has 16 divisors (see below), whose sum is σ = 494259317760. Its totient is φ = 339716835216.

The previous prime is 414404313107. The next prime is 414404313133. The reversal of 414404313113 is 311313404414.

It is a cyclic number.

It is not a de Polignac number, because 414404313113 - 2¹² = 414404309017 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 (414404313133) 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, 1137806 + ... + 1457192.

It is an arithmetic number, because the mean of its divisors is an integer number (30891207360).

Almost surely, 2^414404313113 is an apocalyptic number.

It is an amenable number.

414404313113 is a deficient number, since it is larger than the sum of its proper divisors (79855004647).

414404313113 is a wasteful number, since it uses less digits than its factorization.

414404313113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327476.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 414404313113 its reverse (311313404414), we get a palindrome (725717717527).

The spelling of 414404313113 in words is "four hundred fourteen billion, four hundred four million, three hundred thirteen thousand, one hundred thirteen".