414101103444 has 36 divisors (see below), whose sum is σ = 1196292077344. Its totient is φ = 118314600912.

The previous prime is 414101103407. The next prime is 414101103457. The reversal of 414101103444 is 444301101414.

414101103444 is a `hidden beast` number, since 4 + 14 + 101 + 103 + 444 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×414101103444² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 821628922 + ... + 821629425.

Almost surely, 2^414101103444 is an apocalyptic number.

It is an amenable number.

414101103444 is an abundant number, since it is smaller than the sum of its proper divisors (782190973900).

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

414101103444 is a wasteful number, since it uses less digits than its factorization.

414101103444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643258364 (or 1643258359 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 414101103444 its reverse (444301101414), we get a palindrome (858402204858).

The spelling of 414101103444 in words is "four hundred fourteen billion, one hundred one million, one hundred three thousand, four hundred forty-four".