414334142304 has 96 divisors (see below), whose sum is σ = 1115460783360. Its totient is φ = 134591611392.

The previous prime is 414334142281. The next prime is 414334142311. The reversal of 414334142304 is 403241433414.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 1697874 + ... + 1926510.

It is an arithmetic number, because the mean of its divisors is an integer number (11619383160).

Almost surely, 2^414334142304 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 414334142304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557730391680).

414334142304 is an abundant number, since it is smaller than the sum of its proper divisors (701126641056).

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

414334142304 is a wasteful number, since it uses less digits than its factorization.

414334142304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229132 (or 229124 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 414334142304 its reverse (403241433414), we get a palindrome (817575575718).

The spelling of 414334142304 in words is "four hundred fourteen billion, three hundred thirty-four million, one hundred forty-two thousand, three hundred four".