414421045344 has 144 divisors (see below), whose sum is σ = 1182877441200. Its totient is φ = 137629409280.

The previous prime is 414421045331. The next prime is 414421045453. The reversal of 414421045344 is 443540124414.

414421045344 is a `hidden beast` number, since 4 + 14 + 4 + 2 + 104 + 534 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 414421045299 and 414421045308.

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 23 ways as a sum of consecutive naturals, for example, 102349432 + ... + 102353480.

It is an arithmetic number, because the mean of its divisors is an integer number (8214426675).

Almost surely, 2^414421045344 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 414421045344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591438720600).

414421045344 is an abundant number, since it is smaller than the sum of its proper divisors (768456395856).

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

414421045344 is a wasteful number, since it uses less digits than its factorization.

414421045344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5293 (or 5282 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 414421045344 its reverse (443540124414), we get a palindrome (857961169758).

The spelling of 414421045344 in words is "four hundred fourteen billion, four hundred twenty-one million, forty-five thousand, three hundred forty-four".