414114344420 has 48 divisors (see below), whose sum is σ = 1028145968640. Its totient is φ = 137086126464.

The previous prime is 414114344419. The next prime is 414114344443. The reversal of 414114344420 is 24443411414.

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 15 ways as a sum of consecutive naturals, for example, 50995244 + ... + 51003363.

It is an arithmetic number, because the mean of its divisors is an integer number (21419707680).

Almost surely, 2^414114344420 is an apocalyptic number.

It is an amenable number.

414114344420 is an abundant number, since it is smaller than the sum of its proper divisors (614031624220).

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

414114344420 is a wasteful number, since it uses less digits than its factorization.

414114344420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101998652 (or 101998650 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 414114344420 its reverse (24443411414), we get a palindrome (438557755834).

The spelling of 414114344420 in words is "four hundred fourteen billion, one hundred fourteen million, three hundred forty-four thousand, four hundred twenty".