414013314042 has 28 divisors (see below), whose sum is σ = 931104020250. Its totient is φ = 138004437528.

The previous prime is 414013314007. The next prime is 414013314061. The reversal of 414013314042 is 240413310414.

It can be written as a sum of positive squares in only one way, i.e., 211748145921 + 202265168121 = 460161^2 + 449739^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 414013313997 and 414013314015.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 141978417 + ... + 141981332.

Almost surely, 2^414013314042 is an apocalyptic number.

414013314042 is an abundant number, since it is smaller than the sum of its proper divisors (517090706208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414013314042 is an equidigital number, since it uses as much as digits as its factorization.

414013314042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283959769 (or 283959754 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 414013314042 its reverse (240413310414), we get a palindrome (654426624456).

The spelling of 414013314042 in words is "four hundred fourteen billion, thirteen million, three hundred fourteen thousand, forty-two".