414124033204 has 96 divisors (see below), whose sum is σ = 899007782400. Its totient is φ = 163004244480.

The previous prime is 414124033187. The next prime is 414124033237. The reversal of 414124033204 is 402330421414.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3319102 + ... + 3441610.

It is an arithmetic number, because the mean of its divisors is an integer number (9364664400).

Almost surely, 2^414124033204 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 414124033204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449503891200).

414124033204 is an abundant number, since it is smaller than the sum of its proper divisors (484883749196).

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

414124033204 is a wasteful number, since it uses less digits than its factorization.

414124033204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122753 (or 122751 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 414124033204 its reverse (402330421414), we get a palindrome (816454454618).

The spelling of 414124033204 in words is "four hundred fourteen billion, one hundred twenty-four million, thirty-three thousand, two hundred four".