414042224204 has 96 divisors (see below), whose sum is σ = 859863029760. Its totient is φ = 170684640000.

The previous prime is 414042224177. The next prime is 414042224237. The reversal of 414042224204 is 402422240414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500655239 + ... + 500656065.

It is an arithmetic number, because the mean of its divisors is an integer number (8956906560).

Almost surely, 2^414042224204 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 414042224204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429931514880).

414042224204 is an abundant number, since it is smaller than the sum of its proper divisors (445820805556).

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

414042224204 is a wasteful number, since it uses less digits than its factorization.

414042224204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2439 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 29.

Adding to 414042224204 its reverse (402422240414), we get a palindrome (816464464618).

The spelling of 414042224204 in words is "four hundred fourteen billion, forty-two million, two hundred twenty-four thousand, two hundred four".