414000044430 has 256 divisors, whose sum is σ = 1263569725440. Its totient is φ = 84638711808.

The previous prime is 414000044407. The next prime is 414000044443. The reversal of 414000044430 is 34440000414.

It is a self number, because there is not a number n which added to its sum of digits gives 414000044430.

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 127 ways as a sum of consecutive naturals, for example, 5643426 + ... + 5716314.

It is an arithmetic number, because the mean of its divisors is an integer number (4935819240).

Almost surely, 2^414000044430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414000044430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631784862720).

414000044430 is an abundant number, since it is smaller than the sum of its proper divisors (849569681010).

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

414000044430 is a wasteful number, since it uses less digits than its factorization.

414000044430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73003.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 414000044430 its reverse (34440000414), we get a palindrome (448440044844).

The spelling of 414000044430 in words is "four hundred fourteen billion, forty-four thousand, four hundred thirty".