414434041344444 has 48 divisors (see below), whose sum is σ = 1065367796685696. Its totient is φ = 124342646664000.

The previous prime is 414434041344409. The next prime is 414434041344451. The reversal of 414434041344444 is 444443140434414.

It is a junction number, because it is equal to n+sod(n) for n = 414434041344393 and 414434041344402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15542817502 + ... + 15542844165.

It is an arithmetic number, because the mean of its divisors is an integer number (22195162430952).

Almost surely, 2^{414434041344444} is an apocalyptic number.

414434041344444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

414434041344444 is an abundant number, since it is smaller than the sum of its proper divisors (650933755341252).

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

414434041344444 is a wasteful number, since it uses less digits than its factorization.

414434041344444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31085661786 (or 31085661784 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 48.

Adding to 414434041344444 its reverse (444443140434414), we get a palindrome (858877181778858).

The spelling of 414434041344444 in words is "four hundred fourteen trillion, four hundred thirty-four billion, forty-one million, three hundred forty-four thousand, four hundred forty-four".