414044353044 has 108 divisors (see below), whose sum is σ = 1218230916084. Its totient is φ = 118226158848.

The previous prime is 414044353027. The next prime is 414044353091. The reversal of 414044353044 is 440353440414.

414044353044 is a `hidden beast` number, since 4 + 1 + 40 + 4 + 43 + 530 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 216364522500 + 197679830544 = 465150^2 + 444612^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2852122 + ... + 2993774.

Almost surely, 2^414044353044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414044353044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609115458042).

414044353044 is an abundant number, since it is smaller than the sum of its proper divisors (804186563040).

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

414044353044 is a wasteful number, since it uses less digits than its factorization.

414044353044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143334 (or 143322 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 414044353044 its reverse (440353440414), we get a palindrome (854397793458).

The spelling of 414044353044 in words is "four hundred fourteen billion, forty-four million, three hundred fifty-three thousand, forty-four".