414225325344 has 96 divisors (see below), whose sum is σ = 1108303064064. Its totient is φ = 135426170880.

The previous prime is 414225325333. The next prime is 414225325357. The reversal of 414225325344 is 443523522414.

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

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1966977 + ... + 2167359.

It is an arithmetic number, because the mean of its divisors is an integer number (11544823584).

Almost surely, 2^414225325344 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 414225325344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554151532032).

414225325344 is an abundant number, since it is smaller than the sum of its proper divisors (694077738720).

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

414225325344 is a wasteful number, since it uses less digits than its factorization.

414225325344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200810 (or 200802 counting only the distinct ones).

The product of its digits is 460800, while the sum is 39.

Adding to 414225325344 its reverse (443523522414), we get a palindrome (857748847758).

The spelling of 414225325344 in words is "four hundred fourteen billion, two hundred twenty-five million, three hundred twenty-five thousand, three hundred forty-four".